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Finding the Third Proportional to 610,533 and 897,508

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Solution

The third proportional to 610,533 and 897,508 is: 1,319,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,533 : 897,508 = 897,508 : x
  2. Step 2: Convert to fraction form
    610,533/897,508 = 897,508/x
  3. Step 3: Cross multiply
    610,533x = 897,508 × 897,508
  4. Step 4: Simplify right side
    610,533x = 805,520,610,064
  5. Step 5: Solve for x
    x = 805,520,610,064/610,533
  6. Step 6: Final answer
    x = 1,319,372.76

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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.