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Finding the Third Proportional to 553,624 and 726,944

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Solution

The third proportional to 553,624 and 726,944 is: 954,524.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,624 : 726,944 = 726,944 : x
  2. Step 2: Convert to fraction form
    553,624/726,944 = 726,944/x
  3. Step 3: Cross multiply
    553,624x = 726,944 × 726,944
  4. Step 4: Simplify right side
    553,624x = 528,447,579,136
  5. Step 5: Solve for x
    x = 528,447,579,136/553,624
  6. Step 6: Final answer
    x = 954,524.33

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.