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Finding the Third Proportional to 357,696 and 738,432

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Solution

The third proportional to 357,696 and 738,432 is: 1,524,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,696 : 738,432 = 738,432 : x
  2. Step 2: Convert to fraction form
    357,696/738,432 = 738,432/x
  3. Step 3: Cross multiply
    357,696x = 738,432 × 738,432
  4. Step 4: Simplify right side
    357,696x = 545,281,818,624
  5. Step 5: Solve for x
    x = 545,281,818,624/357,696
  6. Step 6: Final answer
    x = 1,524,428.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.