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Finding the Third Proportional to 324,855 and 499,963.50

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Solution

The third proportional to 324,855 and 499,963.50 is: 769,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,855 : 499,963.50 = 499,963.50 : x
  2. Step 2: Convert to fraction form
    324,855/499,963.50 = 499,963.50/x
  3. Step 3: Cross multiply
    324,855x = 499,963.50 × 499,963.50
  4. Step 4: Simplify right side
    324,855x = 249,963,501,332.25
  5. Step 5: Solve for x
    x = 249,963,501,332.25/324,855
  6. Step 6: Final answer
    x = 769,461.76

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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.