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Finding the Third Proportional to 317,217,271 and 484,943,478

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Solution

The third proportional to 317,217,271 and 484,943,478 is: 741,353,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,217,271 : 484,943,478 = 484,943,478 : x
  2. Step 2: Convert to fraction form
    317,217,271/484,943,478 = 484,943,478/x
  3. Step 3: Cross multiply
    317,217,271x = 484,943,478 × 484,943,478
  4. Step 4: Simplify right side
    317,217,271x = 235,170,176,854,736,480
  5. Step 5: Solve for x
    x = 235,170,176,854,736,480/317,217,271
  6. Step 6: Final answer
    x = 741,353,634.73

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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.