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Finding the Third Proportional to 276,435,486 and 604,939,068

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Solution

The third proportional to 276,435,486 and 604,939,068 is: 1,323,821,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,435,486 : 604,939,068 = 604,939,068 : x
  2. Step 2: Convert to fraction form
    276,435,486/604,939,068 = 604,939,068/x
  3. Step 3: Cross multiply
    276,435,486x = 604,939,068 × 604,939,068
  4. Step 4: Simplify right side
    276,435,486x = 365,951,275,992,708,608
  5. Step 5: Solve for x
    x = 365,951,275,992,708,608/276,435,486
  6. Step 6: Final answer
    x = 1,323,821,631.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.