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Finding the Third Proportional to 402,272 and 881,363

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Solution

The third proportional to 402,272 and 881,363 is: 1,931,033.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,272 : 881,363 = 881,363 : x
  2. Step 2: Convert to fraction form
    402,272/881,363 = 881,363/x
  3. Step 3: Cross multiply
    402,272x = 881,363 × 881,363
  4. Step 4: Simplify right side
    402,272x = 776,800,737,769
  5. Step 5: Solve for x
    x = 776,800,737,769/402,272
  6. Step 6: Final answer
    x = 1,931,033.57

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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.