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Finding the Third Proportional to 257,974 and 390,856

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Solution

The third proportional to 257,974 and 390,856 is: 592,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,974 : 390,856 = 390,856 : x
  2. Step 2: Convert to fraction form
    257,974/390,856 = 390,856/x
  3. Step 3: Cross multiply
    257,974x = 390,856 × 390,856
  4. Step 4: Simplify right side
    257,974x = 152,768,412,736
  5. Step 5: Solve for x
    x = 152,768,412,736/257,974
  6. Step 6: Final answer
    x = 592,185.31

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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.