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Finding the Third Proportional to 553,683 and 791,766

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Solution

The third proportional to 553,683 and 791,766 is: 1,132,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,683 : 791,766 = 791,766 : x
  2. Step 2: Convert to fraction form
    553,683/791,766 = 791,766/x
  3. Step 3: Cross multiply
    553,683x = 791,766 × 791,766
  4. Step 4: Simplify right side
    553,683x = 626,893,398,756
  5. Step 5: Solve for x
    x = 626,893,398,756/553,683
  6. Step 6: Final answer
    x = 1,132,224.39

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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.