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Finding the Third Proportional to 402,387.75 and 852,747.75

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Solution

The third proportional to 402,387.75 and 852,747.75 is: 1,807,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,387.75 : 852,747.75 = 852,747.75 : x
  2. Step 2: Convert to fraction form
    402,387.75/852,747.75 = 852,747.75/x
  3. Step 3: Cross multiply
    402,387.75x = 852,747.75 × 852,747.75
  4. Step 4: Simplify right side
    402,387.75x = 727,178,725,130.06
  5. Step 5: Solve for x
    x = 727,178,725,130.06/402,387.75
  6. Step 6: Final answer
    x = 1,807,159.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.