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Finding the Third Proportional to 357,098.25 and 484,437.38

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Solution

The third proportional to 357,098.25 and 484,437.38 is: 657,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,098.25 : 484,437.38 = 484,437.38 : x
  2. Step 2: Convert to fraction form
    357,098.25/484,437.38 = 484,437.38/x
  3. Step 3: Cross multiply
    357,098.25x = 484,437.38 × 484,437.38
  4. Step 4: Simplify right side
    357,098.25x = 234,679,570,296.89
  5. Step 5: Solve for x
    x = 234,679,570,296.89/357,098.25
  6. Step 6: Final answer
    x = 657,184.88

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.