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Finding the Third Proportional to 360,604.88 and 571,008.56

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Solution

The third proportional to 360,604.88 and 571,008.56 is: 904,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,604.88 : 571,008.56 = 571,008.56 : x
  2. Step 2: Convert to fraction form
    360,604.88/571,008.56 = 571,008.56/x
  3. Step 3: Cross multiply
    360,604.88x = 571,008.56 × 571,008.56
  4. Step 4: Simplify right side
    360,604.88x = 326,050,778,448.32
  5. Step 5: Solve for x
    x = 326,050,778,448.32/360,604.88
  6. Step 6: Final answer
    x = 904,177.40

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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.