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Finding the Third Proportional to 241,554 and 524,730

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Solution

The third proportional to 241,554 and 524,730 is: 1,139,875.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,554 : 524,730 = 524,730 : x
  2. Step 2: Convert to fraction form
    241,554/524,730 = 524,730/x
  3. Step 3: Cross multiply
    241,554x = 524,730 × 524,730
  4. Step 4: Simplify right side
    241,554x = 275,341,572,900
  5. Step 5: Solve for x
    x = 275,341,572,900/241,554
  6. Step 6: Final answer
    x = 1,139,875.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.