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Finding the Third Proportional to 326,746 and 499,729

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Solution

The third proportional to 326,746 and 499,729 is: 764,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,746 : 499,729 = 499,729 : x
  2. Step 2: Convert to fraction form
    326,746/499,729 = 499,729/x
  3. Step 3: Cross multiply
    326,746x = 499,729 × 499,729
  4. Step 4: Simplify right side
    326,746x = 249,729,073,441
  5. Step 5: Solve for x
    x = 249,729,073,441/326,746
  6. Step 6: Final answer
    x = 764,291.14

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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.