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Finding the Third Proportional to 488,433 and 1,041,382.50

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Solution

The third proportional to 488,433 and 1,041,382.50 is: 2,220,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,433 : 1,041,382.50 = 1,041,382.50 : x
  2. Step 2: Convert to fraction form
    488,433/1,041,382.50 = 1,041,382.50/x
  3. Step 3: Cross multiply
    488,433x = 1,041,382.50 × 1,041,382.50
  4. Step 4: Simplify right side
    488,433x = 1,084,477,511,306.25
  5. Step 5: Solve for x
    x = 1,084,477,511,306.25/488,433
  6. Step 6: Final answer
    x = 2,220,319.90

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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.