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Finding the Third Proportional to 258,766 and 386,553

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Solution

The third proportional to 258,766 and 386,553 is: 577,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,766 : 386,553 = 386,553 : x
  2. Step 2: Convert to fraction form
    258,766/386,553 = 386,553/x
  3. Step 3: Cross multiply
    258,766x = 386,553 × 386,553
  4. Step 4: Simplify right side
    258,766x = 149,423,221,809
  5. Step 5: Solve for x
    x = 149,423,221,809/258,766
  6. Step 6: Final answer
    x = 577,445.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.