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Finding the Third Proportional to 263,170,310 and 570,273,076

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Solution

The third proportional to 263,170,310 and 570,273,076 is: 1,235,744,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,170,310 : 570,273,076 = 570,273,076 : x
  2. Step 2: Convert to fraction form
    263,170,310/570,273,076 = 570,273,076/x
  3. Step 3: Cross multiply
    263,170,310x = 570,273,076 × 570,273,076
  4. Step 4: Simplify right side
    263,170,310x = 325,211,381,210,501,760
  5. Step 5: Solve for x
    x = 325,211,381,210,501,760/263,170,310
  6. Step 6: Final answer
    x = 1,235,744,948.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.