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Finding the Third Proportional to 519,088.50 and 785,553.19

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Solution

The third proportional to 519,088.50 and 785,553.19 is: 1,188,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,088.50 : 785,553.19 = 785,553.19 : x
  2. Step 2: Convert to fraction form
    519,088.50/785,553.19 = 785,553.19/x
  3. Step 3: Cross multiply
    519,088.50x = 785,553.19 × 785,553.19
  4. Step 4: Simplify right side
    519,088.50x = 617,093,810,391.41
  5. Step 5: Solve for x
    x = 617,093,810,391.41/519,088.50
  6. Step 6: Final answer
    x = 1,188,802.70

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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.