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Finding the Third Proportional to 241,624 and 523,070

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Solution

The third proportional to 241,624 and 523,070 is: 1,132,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,624 : 523,070 = 523,070 : x
  2. Step 2: Convert to fraction form
    241,624/523,070 = 523,070/x
  3. Step 3: Cross multiply
    241,624x = 523,070 × 523,070
  4. Step 4: Simplify right side
    241,624x = 273,602,224,900
  5. Step 5: Solve for x
    x = 273,602,224,900/241,624
  6. Step 6: Final answer
    x = 1,132,347.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.