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Finding the Third Proportional to 399,195 and 602,937

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Solution

The third proportional to 399,195 and 602,937 is: 910,665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,195 : 602,937 = 602,937 : x
  2. Step 2: Convert to fraction form
    399,195/602,937 = 602,937/x
  3. Step 3: Cross multiply
    399,195x = 602,937 × 602,937
  4. Step 4: Simplify right side
    399,195x = 363,533,025,969
  5. Step 5: Solve for x
    x = 363,533,025,969/399,195
  6. Step 6: Final answer
    x = 910,665.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.