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Finding the Third Proportional to 284,044.50 and 426,802.50

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Solution

The third proportional to 284,044.50 and 426,802.50 is: 641,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,044.50 : 426,802.50 = 426,802.50 : x
  2. Step 2: Convert to fraction form
    284,044.50/426,802.50 = 426,802.50/x
  3. Step 3: Cross multiply
    284,044.50x = 426,802.50 × 426,802.50
  4. Step 4: Simplify right side
    284,044.50x = 182,160,374,006.25
  5. Step 5: Solve for x
    x = 182,160,374,006.25/284,044.50
  6. Step 6: Final answer
    x = 641,309.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.