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Finding the Third Proportional to 315,136.50 and 424,585.50

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Solution

The third proportional to 315,136.50 and 424,585.50 is: 572,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,136.50 : 424,585.50 = 424,585.50 : x
  2. Step 2: Convert to fraction form
    315,136.50/424,585.50 = 424,585.50/x
  3. Step 3: Cross multiply
    315,136.50x = 424,585.50 × 424,585.50
  4. Step 4: Simplify right side
    315,136.50x = 180,272,846,810.25
  5. Step 5: Solve for x
    x = 180,272,846,810.25/315,136.50
  6. Step 6: Final answer
    x = 572,046.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.