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Finding the Third Proportional to 553,626 and 867,343

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Solution

The third proportional to 553,626 and 867,343 is: 1,358,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,626 : 867,343 = 867,343 : x
  2. Step 2: Convert to fraction form
    553,626/867,343 = 867,343/x
  3. Step 3: Cross multiply
    553,626x = 867,343 × 867,343
  4. Step 4: Simplify right side
    553,626x = 752,283,879,649
  5. Step 5: Solve for x
    x = 752,283,879,649/553,626
  6. Step 6: Final answer
    x = 1,358,830.47

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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.