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Finding the Third Proportional to 571,414.50 and 904,041

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Solution

The third proportional to 571,414.50 and 904,041 is: 1,430,292.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,414.50 : 904,041 = 904,041 : x
  2. Step 2: Convert to fraction form
    571,414.50/904,041 = 904,041/x
  3. Step 3: Cross multiply
    571,414.50x = 904,041 × 904,041
  4. Step 4: Simplify right side
    571,414.50x = 817,290,129,681
  5. Step 5: Solve for x
    x = 817,290,129,681/571,414.50
  6. Step 6: Final answer
    x = 1,430,292.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.