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Finding the Third Proportional to 417,750.75 and 891,877.50

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Solution

The third proportional to 417,750.75 and 891,877.50 is: 1,904,115.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,750.75 : 891,877.50 = 891,877.50 : x
  2. Step 2: Convert to fraction form
    417,750.75/891,877.50 = 891,877.50/x
  3. Step 3: Cross multiply
    417,750.75x = 891,877.50 × 891,877.50
  4. Step 4: Simplify right side
    417,750.75x = 795,445,475,006.25
  5. Step 5: Solve for x
    x = 795,445,475,006.25/417,750.75
  6. Step 6: Final answer
    x = 1,904,115.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.