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Finding the Third Proportional to 298,686,424 and 468,550,442

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Solution

The third proportional to 298,686,424 and 468,550,442 is: 735,016,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,686,424 : 468,550,442 = 468,550,442 : x
  2. Step 2: Convert to fraction form
    298,686,424/468,550,442 = 468,550,442/x
  3. Step 3: Cross multiply
    298,686,424x = 468,550,442 × 468,550,442
  4. Step 4: Simplify right side
    298,686,424x = 219,539,516,698,395,360
  5. Step 5: Solve for x
    x = 219,539,516,698,395,360/298,686,424
  6. Step 6: Final answer
    x = 735,016,723.42

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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.