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Finding the Third Proportional to 273,965,564 and 401,119,478

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Solution

The third proportional to 273,965,564 and 401,119,478 is: 587,288,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,965,564 : 401,119,478 = 401,119,478 : x
  2. Step 2: Convert to fraction form
    273,965,564/401,119,478 = 401,119,478/x
  3. Step 3: Cross multiply
    273,965,564x = 401,119,478 × 401,119,478
  4. Step 4: Simplify right side
    273,965,564x = 160,896,835,630,992,480
  5. Step 5: Solve for x
    x = 160,896,835,630,992,480/273,965,564
  6. Step 6: Final answer
    x = 587,288,538.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.