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Finding the Third Proportional to 276,435,702 and 604,939,500

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Solution

The third proportional to 276,435,702 and 604,939,500 is: 1,323,822,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,435,702 : 604,939,500 = 604,939,500 : x
  2. Step 2: Convert to fraction form
    276,435,702/604,939,500 = 604,939,500/x
  3. Step 3: Cross multiply
    276,435,702x = 604,939,500 × 604,939,500
  4. Step 4: Simplify right side
    276,435,702x = 365,951,798,660,249,984
  5. Step 5: Solve for x
    x = 365,951,798,660,249,984/276,435,702
  6. Step 6: Final answer
    x = 1,323,822,487.52

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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.