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Finding the Third Proportional to 473,312.53 and 1,041,250.78

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Solution

The third proportional to 473,312.53 and 1,041,250.78 is: 2,290,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,312.53 : 1,041,250.78 = 1,041,250.78 : x
  2. Step 2: Convert to fraction form
    473,312.53/1,041,250.78 = 1,041,250.78/x
  3. Step 3: Cross multiply
    473,312.53x = 1,041,250.78 × 1,041,250.78
  4. Step 4: Simplify right side
    473,312.53x = 1,084,203,189,453.74
  5. Step 5: Solve for x
    x = 1,084,203,189,453.74/473,312.53
  6. Step 6: Final answer
    x = 2,290,670.79

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.