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Finding the Third Proportional to 572,452 and 841,172

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Solution

The third proportional to 572,452 and 841,172 is: 1,236,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,452 : 841,172 = 841,172 : x
  2. Step 2: Convert to fraction form
    572,452/841,172 = 841,172/x
  3. Step 3: Cross multiply
    572,452x = 841,172 × 841,172
  4. Step 4: Simplify right side
    572,452x = 707,570,333,584
  5. Step 5: Solve for x
    x = 707,570,333,584/572,452
  6. Step 6: Final answer
    x = 1,236,034.35

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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.