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Finding the Third Proportional to 322,648,346 and 495,933,747

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Solution

The third proportional to 322,648,346 and 495,933,747 is: 762,285,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,648,346 : 495,933,747 = 495,933,747 : x
  2. Step 2: Convert to fraction form
    322,648,346/495,933,747 = 495,933,747/x
  3. Step 3: Cross multiply
    322,648,346x = 495,933,747 × 495,933,747
  4. Step 4: Simplify right side
    322,648,346x = 245,950,281,413,460,000
  5. Step 5: Solve for x
    x = 245,950,281,413,460,000/322,648,346
  6. Step 6: Final answer
    x = 762,285,889.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.