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Finding the Third Proportional to 326,493,396 and 499,235,713.50

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Solution

The third proportional to 326,493,396 and 499,235,713.50 is: 763,373,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,493,396 : 499,235,713.50 = 499,235,713.50 : x
  2. Step 2: Convert to fraction form
    326,493,396/499,235,713.50 = 499,235,713.50/x
  3. Step 3: Cross multiply
    326,493,396x = 499,235,713.50 × 499,235,713.50
  4. Step 4: Simplify right side
    326,493,396x = 249,236,297,633,854,080
  5. Step 5: Solve for x
    x = 249,236,297,633,854,080/326,493,396
  6. Step 6: Final answer
    x = 763,373,166.77

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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.