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Finding the Third Proportional to 240,417 and 373,751

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Solution

The third proportional to 240,417 and 373,751 is: 581,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,417 : 373,751 = 373,751 : x
  2. Step 2: Convert to fraction form
    240,417/373,751 = 373,751/x
  3. Step 3: Cross multiply
    240,417x = 373,751 × 373,751
  4. Step 4: Simplify right side
    240,417x = 139,689,810,001
  5. Step 5: Solve for x
    x = 139,689,810,001/240,417
  6. Step 6: Final answer
    x = 581,031.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.