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Finding the Third Proportional to 326,739 and 499,720.50

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Solution

The third proportional to 326,739 and 499,720.50 is: 764,281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,739 : 499,720.50 = 499,720.50 : x
  2. Step 2: Convert to fraction form
    326,739/499,720.50 = 499,720.50/x
  3. Step 3: Cross multiply
    326,739x = 499,720.50 × 499,720.50
  4. Step 4: Simplify right side
    326,739x = 249,720,578,120.25
  5. Step 5: Solve for x
    x = 249,720,578,120.25/326,739
  6. Step 6: Final answer
    x = 764,281.52

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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.