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Finding the Third Proportional to 324,875 and 499,999

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Solution

The third proportional to 324,875 and 499,999 is: 769,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,875 : 499,999 = 499,999 : x
  2. Step 2: Convert to fraction form
    324,875/499,999 = 499,999/x
  3. Step 3: Cross multiply
    324,875x = 499,999 × 499,999
  4. Step 4: Simplify right side
    324,875x = 249,999,000,001
  5. Step 5: Solve for x
    x = 249,999,000,001/324,875
  6. Step 6: Final answer
    x = 769,523.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.