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Finding the Third Proportional to 584,796 and 881,512

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Solution

The third proportional to 584,796 and 881,512 is: 1,328,776.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,796 : 881,512 = 881,512 : x
  2. Step 2: Convert to fraction form
    584,796/881,512 = 881,512/x
  3. Step 3: Cross multiply
    584,796x = 881,512 × 881,512
  4. Step 4: Simplify right side
    584,796x = 777,063,406,144
  5. Step 5: Solve for x
    x = 777,063,406,144/584,796
  6. Step 6: Final answer
    x = 1,328,776.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.