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Finding the Third Proportional to 610,446.38 and 897,399

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Solution

The third proportional to 610,446.38 and 897,399 is: 1,319,239.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,446.38 : 897,399 = 897,399 : x
  2. Step 2: Convert to fraction form
    610,446.38/897,399 = 897,399/x
  3. Step 3: Cross multiply
    610,446.38x = 897,399 × 897,399
  4. Step 4: Simplify right side
    610,446.38x = 805,324,965,201
  5. Step 5: Solve for x
    x = 805,324,965,201/610,446.38
  6. Step 6: Final answer
    x = 1,319,239.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.