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Finding the Third Proportional to 249,856 and 399,624

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Solution

The third proportional to 249,856 and 399,624 is: 639,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,856 : 399,624 = 399,624 : x
  2. Step 2: Convert to fraction form
    249,856/399,624 = 399,624/x
  3. Step 3: Cross multiply
    249,856x = 399,624 × 399,624
  4. Step 4: Simplify right side
    249,856x = 159,699,341,376
  5. Step 5: Solve for x
    x = 159,699,341,376/249,856
  6. Step 6: Final answer
    x = 639,165.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.