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Finding the Third Proportional to 370,498 and 574,051

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Solution

The third proportional to 370,498 and 574,051 is: 889,436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,498 : 574,051 = 574,051 : x
  2. Step 2: Convert to fraction form
    370,498/574,051 = 574,051/x
  3. Step 3: Cross multiply
    370,498x = 574,051 × 574,051
  4. Step 4: Simplify right side
    370,498x = 329,534,550,601
  5. Step 5: Solve for x
    x = 329,534,550,601/370,498
  6. Step 6: Final answer
    x = 889,436.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.