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Finding the Third Proportional to 362,269.13 and 532,318.50

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Solution

The third proportional to 362,269.13 and 532,318.50 is: 782,189.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,269.13 : 532,318.50 = 532,318.50 : x
  2. Step 2: Convert to fraction form
    362,269.13/532,318.50 = 532,318.50/x
  3. Step 3: Cross multiply
    362,269.13x = 532,318.50 × 532,318.50
  4. Step 4: Simplify right side
    362,269.13x = 283,362,985,442.25
  5. Step 5: Solve for x
    x = 283,362,985,442.25/362,269.13
  6. Step 6: Final answer
    x = 782,189.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.