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Finding the Third Proportional to 563,844.38 and 872,685.56

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Solution

The third proportional to 563,844.38 and 872,685.56 is: 1,350,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,844.38 : 872,685.56 = 872,685.56 : x
  2. Step 2: Convert to fraction form
    563,844.38/872,685.56 = 872,685.56/x
  3. Step 3: Cross multiply
    563,844.38x = 872,685.56 × 872,685.56
  4. Step 4: Simplify right side
    563,844.38x = 761,580,090,995.94
  5. Step 5: Solve for x
    x = 761,580,090,995.94/563,844.38
  6. Step 6: Final answer
    x = 1,350,692.01

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Why These Related Problems?

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