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Finding the Third Proportional to 341,204,418 and 736,778,196

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Solution

The third proportional to 341,204,418 and 736,778,196 is: 1,590,958,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,204,418 : 736,778,196 = 736,778,196 : x
  2. Step 2: Convert to fraction form
    341,204,418/736,778,196 = 736,778,196/x
  3. Step 3: Cross multiply
    341,204,418x = 736,778,196 × 736,778,196
  4. Step 4: Simplify right side
    341,204,418x = 542,842,110,101,014,400
  5. Step 5: Solve for x
    x = 542,842,110,101,014,400/341,204,418
  6. Step 6: Final answer
    x = 1,590,958,620.30

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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.