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Finding the Third Proportional to 402,304 and 881,984

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Solution

The third proportional to 402,304 and 881,984 is: 1,933,601.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,304 : 881,984 = 881,984 : x
  2. Step 2: Convert to fraction form
    402,304/881,984 = 881,984/x
  3. Step 3: Cross multiply
    402,304x = 881,984 × 881,984
  4. Step 4: Simplify right side
    402,304x = 777,895,776,256
  5. Step 5: Solve for x
    x = 777,895,776,256/402,304
  6. Step 6: Final answer
    x = 1,933,601.89

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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.