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Finding the Third Proportional to 358,704,098 and 772,422,372

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Solution

The third proportional to 358,704,098 and 772,422,372 is: 1,663,310,578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,704,098 : 772,422,372 = 772,422,372 : x
  2. Step 2: Convert to fraction form
    358,704,098/772,422,372 = 772,422,372/x
  3. Step 3: Cross multiply
    358,704,098x = 772,422,372 × 772,422,372
  4. Step 4: Simplify right side
    358,704,098x = 596,636,320,766,106,368
  5. Step 5: Solve for x
    x = 596,636,320,766,106,368/358,704,098
  6. Step 6: Final answer
    x = 1,663,310,578.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.