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Finding the Third Proportional to 325,466,275.50 and 491,226,069

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Solution

The third proportional to 325,466,275.50 and 491,226,069 is: 741,407,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,275.50 : 491,226,069 = 491,226,069 : x
  2. Step 2: Convert to fraction form
    325,466,275.50/491,226,069 = 491,226,069/x
  3. Step 3: Cross multiply
    325,466,275.50x = 491,226,069 × 491,226,069
  4. Step 4: Simplify right side
    325,466,275.50x = 241,303,050,865,192,768
  5. Step 5: Solve for x
    x = 241,303,050,865,192,768/325,466,275.50
  6. Step 6: Final answer
    x = 741,407,233.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.