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Finding the Third Proportional to 257,283 and 390,825

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Solution

The third proportional to 257,283 and 390,825 is: 593,681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,283 : 390,825 = 390,825 : x
  2. Step 2: Convert to fraction form
    257,283/390,825 = 390,825/x
  3. Step 3: Cross multiply
    257,283x = 390,825 × 390,825
  4. Step 4: Simplify right side
    257,283x = 152,744,180,625
  5. Step 5: Solve for x
    x = 152,744,180,625/257,283
  6. Step 6: Final answer
    x = 593,681.59

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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.