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Finding the Third Proportional to 298,686,422 and 468,550,439

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Solution

The third proportional to 298,686,422 and 468,550,439 is: 735,016,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,686,422 : 468,550,439 = 468,550,439 : x
  2. Step 2: Convert to fraction form
    298,686,422/468,550,439 = 468,550,439/x
  3. Step 3: Cross multiply
    298,686,422x = 468,550,439 × 468,550,439
  4. Step 4: Simplify right side
    298,686,422x = 219,539,513,887,092,736
  5. Step 5: Solve for x
    x = 219,539,513,887,092,736/298,686,422
  6. Step 6: Final answer
    x = 735,016,718.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.