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Finding the Third Proportional to 402,387.75 and 596,659.50

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Solution

The third proportional to 402,387.75 and 596,659.50 is: 884,725.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,387.75 : 596,659.50 = 596,659.50 : x
  2. Step 2: Convert to fraction form
    402,387.75/596,659.50 = 596,659.50/x
  3. Step 3: Cross multiply
    402,387.75x = 596,659.50 × 596,659.50
  4. Step 4: Simplify right side
    402,387.75x = 356,002,558,940.25
  5. Step 5: Solve for x
    x = 356,002,558,940.25/402,387.75
  6. Step 6: Final answer
    x = 884,725.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.