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Finding the Third Proportional to 280,778,154.25 and 600,504,311.38

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Solution

The third proportional to 280,778,154.25 and 600,504,311.38 is: 1,284,307,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,778,154.25 : 600,504,311.38 = 600,504,311.38 : x
  2. Step 2: Convert to fraction form
    280,778,154.25/600,504,311.38 = 600,504,311.38/x
  3. Step 3: Cross multiply
    280,778,154.25x = 600,504,311.38 × 600,504,311.38
  4. Step 4: Simplify right side
    280,778,154.25x = 360,605,427,979,962,944
  5. Step 5: Solve for x
    x = 360,605,427,979,962,944/280,778,154.25
  6. Step 6: Final answer
    x = 1,284,307,281.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.