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Finding the Third Proportional to 553,624 and 867,340

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Solution

The third proportional to 553,624 and 867,340 is: 1,358,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,624 : 867,340 = 867,340 : x
  2. Step 2: Convert to fraction form
    553,624/867,340 = 867,340/x
  3. Step 3: Cross multiply
    553,624x = 867,340 × 867,340
  4. Step 4: Simplify right side
    553,624x = 752,278,675,600
  5. Step 5: Solve for x
    x = 752,278,675,600/553,624
  6. Step 6: Final answer
    x = 1,358,825.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.