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Finding the Third Proportional to 726,363 and 857,584

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Solution

The third proportional to 726,363 and 857,584 is: 1,012,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,363 : 857,584 = 857,584 : x
  2. Step 2: Convert to fraction form
    726,363/857,584 = 857,584/x
  3. Step 3: Cross multiply
    726,363x = 857,584 × 857,584
  4. Step 4: Simplify right side
    726,363x = 735,450,317,056
  5. Step 5: Solve for x
    x = 735,450,317,056/726,363
  6. Step 6: Final answer
    x = 1,012,510.71

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.