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Finding the Third Proportional to 638,330 and 970,758

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Solution

The third proportional to 638,330 and 970,758 is: 1,476,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,330 : 970,758 = 970,758 : x
  2. Step 2: Convert to fraction form
    638,330/970,758 = 970,758/x
  3. Step 3: Cross multiply
    638,330x = 970,758 × 970,758
  4. Step 4: Simplify right side
    638,330x = 942,371,094,564
  5. Step 5: Solve for x
    x = 942,371,094,564/638,330
  6. Step 6: Final answer
    x = 1,476,307.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.