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Finding the Third Proportional to 378,480 and 826,624

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Solution

The third proportional to 378,480 and 826,624 is: 1,805,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,480 : 826,624 = 826,624 : x
  2. Step 2: Convert to fraction form
    378,480/826,624 = 826,624/x
  3. Step 3: Cross multiply
    378,480x = 826,624 × 826,624
  4. Step 4: Simplify right side
    378,480x = 683,307,237,376
  5. Step 5: Solve for x
    x = 683,307,237,376/378,480
  6. Step 6: Final answer
    x = 1,805,398.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.