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Finding the Third Proportional to 402,264 and 881,336

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Solution

The third proportional to 402,264 and 881,336 is: 1,930,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,264 : 881,336 = 881,336 : x
  2. Step 2: Convert to fraction form
    402,264/881,336 = 881,336/x
  3. Step 3: Cross multiply
    402,264x = 881,336 × 881,336
  4. Step 4: Simplify right side
    402,264x = 776,753,144,896
  5. Step 5: Solve for x
    x = 776,753,144,896/402,264
  6. Step 6: Final answer
    x = 1,930,953.66

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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.