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Finding the Third Proportional to 357,098 and 484,437

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Solution

The third proportional to 357,098 and 484,437 is: 657,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,098 : 484,437 = 484,437 : x
  2. Step 2: Convert to fraction form
    357,098/484,437 = 484,437/x
  3. Step 3: Cross multiply
    357,098x = 484,437 × 484,437
  4. Step 4: Simplify right side
    357,098x = 234,679,206,969
  5. Step 5: Solve for x
    x = 234,679,206,969/357,098
  6. Step 6: Final answer
    x = 657,184.32

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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.