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Finding the Third Proportional to 420,061.50 and 638,856

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Solution

The third proportional to 420,061.50 and 638,856 is: 971,612.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,061.50 : 638,856 = 638,856 : x
  2. Step 2: Convert to fraction form
    420,061.50/638,856 = 638,856/x
  3. Step 3: Cross multiply
    420,061.50x = 638,856 × 638,856
  4. Step 4: Simplify right side
    420,061.50x = 408,136,988,736
  5. Step 5: Solve for x
    x = 408,136,988,736/420,061.50
  6. Step 6: Final answer
    x = 971,612.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.