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Finding the Third Proportional to 656,191.13 and 938,359.69

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Solution

The third proportional to 656,191.13 and 938,359.69 is: 1,341,863.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,191.13 : 938,359.69 = 938,359.69 : x
  2. Step 2: Convert to fraction form
    656,191.13/938,359.69 = 938,359.69/x
  3. Step 3: Cross multiply
    656,191.13x = 938,359.69 × 938,359.69
  4. Step 4: Simplify right side
    656,191.13x = 880,518,903,125.10
  5. Step 5: Solve for x
    x = 880,518,903,125.10/656,191.13
  6. Step 6: Final answer
    x = 1,341,863.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.