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Finding the Third Proportional to 572,528 and 841,288

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Solution

The third proportional to 572,528 and 841,288 is: 1,236,211.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,528 : 841,288 = 841,288 : x
  2. Step 2: Convert to fraction form
    572,528/841,288 = 841,288/x
  3. Step 3: Cross multiply
    572,528x = 841,288 × 841,288
  4. Step 4: Simplify right side
    572,528x = 707,765,498,944
  5. Step 5: Solve for x
    x = 707,765,498,944/572,528
  6. Step 6: Final answer
    x = 1,236,211.15

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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.