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Finding the Third Proportional to 240,570 and 521,964

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Solution

The third proportional to 240,570 and 521,964 is: 1,132,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,570 : 521,964 = 521,964 : x
  2. Step 2: Convert to fraction form
    240,570/521,964 = 521,964/x
  3. Step 3: Cross multiply
    240,570x = 521,964 × 521,964
  4. Step 4: Simplify right side
    240,570x = 272,446,417,296
  5. Step 5: Solve for x
    x = 272,446,417,296/240,570
  6. Step 6: Final answer
    x = 1,132,503.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.