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Finding the Third Proportional to 358,974,762.75 and 768,376,948.50

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Solution

The third proportional to 358,974,762.75 and 768,376,948.50 is: 1,644,692,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,974,762.75 : 768,376,948.50 = 768,376,948.50 : x
  2. Step 2: Convert to fraction form
    358,974,762.75/768,376,948.50 = 768,376,948.50/x
  3. Step 3: Cross multiply
    358,974,762.75x = 768,376,948.50 × 768,376,948.50
  4. Step 4: Simplify right side
    358,974,762.75x = 590,403,134,986,171,648
  5. Step 5: Solve for x
    x = 590,403,134,986,171,648/358,974,762.75
  6. Step 6: Final answer
    x = 1,644,692,597.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.