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Finding the Third Proportional to 536,582 and 726,141

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Solution

The third proportional to 536,582 and 726,141 is: 982,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,582 : 726,141 = 726,141 : x
  2. Step 2: Convert to fraction form
    536,582/726,141 = 726,141/x
  3. Step 3: Cross multiply
    536,582x = 726,141 × 726,141
  4. Step 4: Simplify right side
    536,582x = 527,280,751,881
  5. Step 5: Solve for x
    x = 527,280,751,881/536,582
  6. Step 6: Final answer
    x = 982,665.75

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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.