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Finding the Third Proportional to 326,417 and 499,285

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Solution

The third proportional to 326,417 and 499,285 is: 763,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,417 : 499,285 = 499,285 : x
  2. Step 2: Convert to fraction form
    326,417/499,285 = 499,285/x
  3. Step 3: Cross multiply
    326,417x = 499,285 × 499,285
  4. Step 4: Simplify right side
    326,417x = 249,285,511,225
  5. Step 5: Solve for x
    x = 249,285,511,225/326,417
  6. Step 6: Final answer
    x = 763,702.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.