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Finding the Third Proportional to 553,698 and 791,785

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Solution

The third proportional to 553,698 and 791,785 is: 1,132,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,698 : 791,785 = 791,785 : x
  2. Step 2: Convert to fraction form
    553,698/791,785 = 791,785/x
  3. Step 3: Cross multiply
    553,698x = 791,785 × 791,785
  4. Step 4: Simplify right side
    553,698x = 626,923,486,225
  5. Step 5: Solve for x
    x = 626,923,486,225/553,698
  6. Step 6: Final answer
    x = 1,132,248.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.