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Finding the Third Proportional to 402,302 and 596,486

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Solution

The third proportional to 402,302 and 596,486 is: 884,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,302 : 596,486 = 596,486 : x
  2. Step 2: Convert to fraction form
    402,302/596,486 = 596,486/x
  3. Step 3: Cross multiply
    402,302x = 596,486 × 596,486
  4. Step 4: Simplify right side
    402,302x = 355,795,548,196
  5. Step 5: Solve for x
    x = 355,795,548,196/402,302
  6. Step 6: Final answer
    x = 884,399.15

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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.