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Finding the Third Proportional to 572,432 and 841,144

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Solution

The third proportional to 572,432 and 841,144 is: 1,235,995.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,432 : 841,144 = 841,144 : x
  2. Step 2: Convert to fraction form
    572,432/841,144 = 841,144/x
  3. Step 3: Cross multiply
    572,432x = 841,144 × 841,144
  4. Step 4: Simplify right side
    572,432x = 707,523,228,736
  5. Step 5: Solve for x
    x = 707,523,228,736/572,432
  6. Step 6: Final answer
    x = 1,235,995.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.