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Finding the Third Proportional to 572,449.50 and 841,169.25

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Solution

The third proportional to 572,449.50 and 841,169.25 is: 1,236,031.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,449.50 : 841,169.25 = 841,169.25 : x
  2. Step 2: Convert to fraction form
    572,449.50/841,169.25 = 841,169.25/x
  3. Step 3: Cross multiply
    572,449.50x = 841,169.25 × 841,169.25
  4. Step 4: Simplify right side
    572,449.50x = 707,565,707,145.56
  5. Step 5: Solve for x
    x = 707,565,707,145.56/572,449.50
  6. Step 6: Final answer
    x = 1,236,031.66

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