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Finding the Third Proportional to 572,406.75 and 841,114.13

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Solution

The third proportional to 572,406.75 and 841,114.13 is: 1,235,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,406.75 : 841,114.13 = 841,114.13 : x
  2. Step 2: Convert to fraction form
    572,406.75/841,114.13 = 841,114.13/x
  3. Step 3: Cross multiply
    572,406.75x = 841,114.13 × 841,114.13
  4. Step 4: Simplify right side
    572,406.75x = 707,472,971,274.52
  5. Step 5: Solve for x
    x = 707,472,971,274.52/572,406.75
  6. Step 6: Final answer
    x = 1,235,961.96

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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.