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Finding the Third Proportional to 399,122 and 602,828

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Solution

The third proportional to 399,122 and 602,828 is: 910,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,122 : 602,828 = 602,828 : x
  2. Step 2: Convert to fraction form
    399,122/602,828 = 602,828/x
  3. Step 3: Cross multiply
    399,122x = 602,828 × 602,828
  4. Step 4: Simplify right side
    399,122x = 363,401,597,584
  5. Step 5: Solve for x
    x = 363,401,597,584/399,122
  6. Step 6: Final answer
    x = 910,502.55

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