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Finding the Third Proportional to 563,608.13 and 871,656.19

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Solution

The third proportional to 563,608.13 and 871,656.19 is: 1,348,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,608.13 : 871,656.19 = 871,656.19 : x
  2. Step 2: Convert to fraction form
    563,608.13/871,656.19 = 871,656.19/x
  3. Step 3: Cross multiply
    563,608.13x = 871,656.19 × 871,656.19
  4. Step 4: Simplify right side
    563,608.13x = 759,784,509,207.04
  5. Step 5: Solve for x
    x = 759,784,509,207.04/563,608.13
  6. Step 6: Final answer
    x = 1,348,072.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.