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Finding the Third Proportional to 257,980 and 390,864

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Solution

The third proportional to 257,980 and 390,864 is: 592,195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,980 : 390,864 = 390,864 : x
  2. Step 2: Convert to fraction form
    257,980/390,864 = 390,864/x
  3. Step 3: Cross multiply
    257,980x = 390,864 × 390,864
  4. Step 4: Simplify right side
    257,980x = 152,774,666,496
  5. Step 5: Solve for x
    x = 152,774,666,496/257,980
  6. Step 6: Final answer
    x = 592,195.78

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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.