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Finding the Third Proportional to 326,508 and 499,428

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Solution

The third proportional to 326,508 and 499,428 is: 763,927.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,508 : 499,428 = 499,428 : x
  2. Step 2: Convert to fraction form
    326,508/499,428 = 499,428/x
  3. Step 3: Cross multiply
    326,508x = 499,428 × 499,428
  4. Step 4: Simplify right side
    326,508x = 249,428,327,184
  5. Step 5: Solve for x
    x = 249,428,327,184/326,508
  6. Step 6: Final answer
    x = 763,927.15

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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.