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Finding the Third Proportional to 564,068.81 and 873,796.36

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Solution

The third proportional to 564,068.81 and 873,796.36 is: 1,353,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,068.81 : 873,796.36 = 873,796.36 : x
  2. Step 2: Convert to fraction form
    564,068.81/873,796.36 = 873,796.36/x
  3. Step 3: Cross multiply
    564,068.81x = 873,796.36 × 873,796.36
  4. Step 4: Simplify right side
    564,068.81x = 763,520,077,657.00
  5. Step 5: Solve for x
    x = 763,520,077,657.00/564,068.81
  6. Step 6: Final answer
    x = 1,353,593.85

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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.