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Finding the Third Proportional to 341,204,408 and 736,778,176

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Solution

The third proportional to 341,204,408 and 736,778,176 is: 1,590,958,580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,204,408 : 736,778,176 = 736,778,176 : x
  2. Step 2: Convert to fraction form
    341,204,408/736,778,176 = 736,778,176/x
  3. Step 3: Cross multiply
    341,204,408x = 736,778,176 × 736,778,176
  4. Step 4: Simplify right side
    341,204,408x = 542,842,080,629,886,976
  5. Step 5: Solve for x
    x = 542,842,080,629,886,976/341,204,408
  6. Step 6: Final answer
    x = 1,590,958,580.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.