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Finding the Third Proportional to 398,871 and 592,038

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Solution

The third proportional to 398,871 and 592,038 is: 878,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,871 : 592,038 = 592,038 : x
  2. Step 2: Convert to fraction form
    398,871/592,038 = 592,038/x
  3. Step 3: Cross multiply
    398,871x = 592,038 × 592,038
  4. Step 4: Simplify right side
    398,871x = 350,508,993,444
  5. Step 5: Solve for x
    x = 350,508,993,444/398,871
  6. Step 6: Final answer
    x = 878,752.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.