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Finding the Third Proportional to 417,565.13 and 894,172.50

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Solution

The third proportional to 417,565.13 and 894,172.50 is: 1,914,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,565.13 : 894,172.50 = 894,172.50 : x
  2. Step 2: Convert to fraction form
    417,565.13/894,172.50 = 894,172.50/x
  3. Step 3: Cross multiply
    417,565.13x = 894,172.50 × 894,172.50
  4. Step 4: Simplify right side
    417,565.13x = 799,544,459,756.25
  5. Step 5: Solve for x
    x = 799,544,459,756.25/417,565.13
  6. Step 6: Final answer
    x = 1,914,777.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.