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Finding the Third Proportional to 443,352 and 960,792

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Solution

The third proportional to 443,352 and 960,792 is: 2,082,140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,352 : 960,792 = 960,792 : x
  2. Step 2: Convert to fraction form
    443,352/960,792 = 960,792/x
  3. Step 3: Cross multiply
    443,352x = 960,792 × 960,792
  4. Step 4: Simplify right side
    443,352x = 923,121,267,264
  5. Step 5: Solve for x
    x = 923,121,267,264/443,352
  6. Step 6: Final answer
    x = 2,082,140.75

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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.