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Finding the Third Proportional to 550,446 and 875,748

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Solution

The third proportional to 550,446 and 875,748 is: 1,393,296.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,446 : 875,748 = 875,748 : x
  2. Step 2: Convert to fraction form
    550,446/875,748 = 875,748/x
  3. Step 3: Cross multiply
    550,446x = 875,748 × 875,748
  4. Step 4: Simplify right side
    550,446x = 766,934,559,504
  5. Step 5: Solve for x
    x = 766,934,559,504/550,446
  6. Step 6: Final answer
    x = 1,393,296.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.