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Finding the Third Proportional to 387,085.50 and 569,243.25

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Solution

The third proportional to 387,085.50 and 569,243.25 is: 837,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,085.50 : 569,243.25 = 569,243.25 : x
  2. Step 2: Convert to fraction form
    387,085.50/569,243.25 = 569,243.25/x
  3. Step 3: Cross multiply
    387,085.50x = 569,243.25 × 569,243.25
  4. Step 4: Simplify right side
    387,085.50x = 324,037,877,670.56
  5. Step 5: Solve for x
    x = 324,037,877,670.56/387,085.50
  6. Step 6: Final answer
    x = 837,122.23

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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.