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Finding the Third Proportional to 309,934.50 and 454,281

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Solution

The third proportional to 309,934.50 and 454,281 is: 665,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,934.50 : 454,281 = 454,281 : x
  2. Step 2: Convert to fraction form
    309,934.50/454,281 = 454,281/x
  3. Step 3: Cross multiply
    309,934.50x = 454,281 × 454,281
  4. Step 4: Simplify right side
    309,934.50x = 206,371,226,961
  5. Step 5: Solve for x
    x = 206,371,226,961/309,934.50
  6. Step 6: Final answer
    x = 665,854.32

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