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Finding the Third Proportional to 352,557 and 768,948.75

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Solution

The third proportional to 352,557 and 768,948.75 is: 1,677,125.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,557 : 768,948.75 = 768,948.75 : x
  2. Step 2: Convert to fraction form
    352,557/768,948.75 = 768,948.75/x
  3. Step 3: Cross multiply
    352,557x = 768,948.75 × 768,948.75
  4. Step 4: Simplify right side
    352,557x = 591,282,180,126.56
  5. Step 5: Solve for x
    x = 591,282,180,126.56/352,557
  6. Step 6: Final answer
    x = 1,677,125.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.