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Finding the Third Proportional to 417,533 and 914,864.50

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Solution

The third proportional to 417,533 and 914,864.50 is: 2,004,577.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,533 : 914,864.50 = 914,864.50 : x
  2. Step 2: Convert to fraction form
    417,533/914,864.50 = 914,864.50/x
  3. Step 3: Cross multiply
    417,533x = 914,864.50 × 914,864.50
  4. Step 4: Simplify right side
    417,533x = 836,977,053,360.25
  5. Step 5: Solve for x
    x = 836,977,053,360.25/417,533
  6. Step 6: Final answer
    x = 2,004,577.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.