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Finding the Third Proportional to 257,337 and 390,379.50

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Solution

The third proportional to 257,337 and 390,379.50 is: 592,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,337 : 390,379.50 = 390,379.50 : x
  2. Step 2: Convert to fraction form
    257,337/390,379.50 = 390,379.50/x
  3. Step 3: Cross multiply
    257,337x = 390,379.50 × 390,379.50
  4. Step 4: Simplify right side
    257,337x = 152,396,154,020.25
  5. Step 5: Solve for x
    x = 152,396,154,020.25/257,337
  6. Step 6: Final answer
    x = 592,204.60

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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.