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Finding the Third Proportional to 417,756.50 and 891,888.50

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Solution

The third proportional to 417,756.50 and 891,888.50 is: 1,904,135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,756.50 : 891,888.50 = 891,888.50 : x
  2. Step 2: Convert to fraction form
    417,756.50/891,888.50 = 891,888.50/x
  3. Step 3: Cross multiply
    417,756.50x = 891,888.50 × 891,888.50
  4. Step 4: Simplify right side
    417,756.50x = 795,465,096,432.25
  5. Step 5: Solve for x
    x = 795,465,096,432.25/417,756.50
  6. Step 6: Final answer
    x = 1,904,135.77

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