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Finding the Third Proportional to 574,728.75 and 1,232,031.75

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Solution

The third proportional to 574,728.75 and 1,232,031.75 is: 2,641,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,728.75 : 1,232,031.75 = 1,232,031.75 : x
  2. Step 2: Convert to fraction form
    574,728.75/1,232,031.75 = 1,232,031.75/x
  3. Step 3: Cross multiply
    574,728.75x = 1,232,031.75 × 1,232,031.75
  4. Step 4: Simplify right side
    574,728.75x = 1,517,902,233,008.06
  5. Step 5: Solve for x
    x = 1,517,902,233,008.06/574,728.75
  6. Step 6: Final answer
    x = 2,641,075.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.