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Finding the Third Proportional to 256,045.50 and 387,605.25

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Solution

The third proportional to 256,045.50 and 387,605.25 is: 586,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,045.50 : 387,605.25 = 387,605.25 : x
  2. Step 2: Convert to fraction form
    256,045.50/387,605.25 = 387,605.25/x
  3. Step 3: Cross multiply
    256,045.50x = 387,605.25 × 387,605.25
  4. Step 4: Simplify right side
    256,045.50x = 150,237,829,827.56
  5. Step 5: Solve for x
    x = 150,237,829,827.56/256,045.50
  6. Step 6: Final answer
    x = 586,762.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.