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Finding the Third Proportional to 417,006.75 and 910,477.88

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Solution

The third proportional to 417,006.75 and 910,477.88 is: 1,987,905.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,006.75 : 910,477.88 = 910,477.88 : x
  2. Step 2: Convert to fraction form
    417,006.75/910,477.88 = 910,477.88/x
  3. Step 3: Cross multiply
    417,006.75x = 910,477.88 × 910,477.88
  4. Step 4: Simplify right side
    417,006.75x = 828,969,960,864.52
  5. Step 5: Solve for x
    x = 828,969,960,864.52/417,006.75
  6. Step 6: Final answer
    x = 1,987,905.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.