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Finding the Third Proportional to 536,580 and 726,138

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Solution

The third proportional to 536,580 and 726,138 is: 982,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,580 : 726,138 = 726,138 : x
  2. Step 2: Convert to fraction form
    536,580/726,138 = 726,138/x
  3. Step 3: Cross multiply
    536,580x = 726,138 × 726,138
  4. Step 4: Simplify right side
    536,580x = 527,276,395,044
  5. Step 5: Solve for x
    x = 527,276,395,044/536,580
  6. Step 6: Final answer
    x = 982,661.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.