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Finding the Third Proportional to 367,502.50 and 498,752

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Solution

The third proportional to 367,502.50 and 498,752 is: 676,875.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,502.50 : 498,752 = 498,752 : x
  2. Step 2: Convert to fraction form
    367,502.50/498,752 = 498,752/x
  3. Step 3: Cross multiply
    367,502.50x = 498,752 × 498,752
  4. Step 4: Simplify right side
    367,502.50x = 248,753,557,504
  5. Step 5: Solve for x
    x = 248,753,557,504/367,502.50
  6. Step 6: Final answer
    x = 676,875.82

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