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Finding the Third Proportional to 402,267 and 881,342

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Solution

The third proportional to 402,267 and 881,342 is: 1,930,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,267 : 881,342 = 881,342 : x
  2. Step 2: Convert to fraction form
    402,267/881,342 = 881,342/x
  3. Step 3: Cross multiply
    402,267x = 881,342 × 881,342
  4. Step 4: Simplify right side
    402,267x = 776,763,720,964
  5. Step 5: Solve for x
    x = 776,763,720,964/402,267
  6. Step 6: Final answer
    x = 1,930,965.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.