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Finding the Third Proportional to 240,063 and 517,343

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Solution

The third proportional to 240,063 and 517,343 is: 1,114,889.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,063 : 517,343 = 517,343 : x
  2. Step 2: Convert to fraction form
    240,063/517,343 = 517,343/x
  3. Step 3: Cross multiply
    240,063x = 517,343 × 517,343
  4. Step 4: Simplify right side
    240,063x = 267,643,779,649
  5. Step 5: Solve for x
    x = 267,643,779,649/240,063
  6. Step 6: Final answer
    x = 1,114,889.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.