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Finding the Third Proportional to 326,564 and 499,514

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Solution

The third proportional to 326,564 and 499,514 is: 764,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,564 : 499,514 = 499,514 : x
  2. Step 2: Convert to fraction form
    326,564/499,514 = 499,514/x
  3. Step 3: Cross multiply
    326,564x = 499,514 × 499,514
  4. Step 4: Simplify right side
    326,564x = 249,514,236,196
  5. Step 5: Solve for x
    x = 249,514,236,196/326,564
  6. Step 6: Final answer
    x = 764,059.22

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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.