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Finding the Third Proportional to 240,894 and 557,730

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Solution

The third proportional to 240,894 and 557,730 is: 1,291,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,894 : 557,730 = 557,730 : x
  2. Step 2: Convert to fraction form
    240,894/557,730 = 557,730/x
  3. Step 3: Cross multiply
    240,894x = 557,730 × 557,730
  4. Step 4: Simplify right side
    240,894x = 311,062,752,900
  5. Step 5: Solve for x
    x = 311,062,752,900/240,894
  6. Step 6: Final answer
    x = 1,291,284.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.