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Finding the Third Proportional to 397,282,155.50 and 855,281,407

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Solution

The third proportional to 397,282,155.50 and 855,281,407 is: 1,841,276,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,282,155.50 : 855,281,407 = 855,281,407 : x
  2. Step 2: Convert to fraction form
    397,282,155.50/855,281,407 = 855,281,407/x
  3. Step 3: Cross multiply
    397,282,155.50x = 855,281,407 × 855,281,407
  4. Step 4: Simplify right side
    397,282,155.50x = 731,506,285,159,899,648
  5. Step 5: Solve for x
    x = 731,506,285,159,899,648/397,282,155.50
  6. Step 6: Final answer
    x = 1,841,276,470.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.