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Finding the Third Proportional to 341,853 and 736,221

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Solution

The third proportional to 341,853 and 736,221 is: 1,585,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,853 : 736,221 = 736,221 : x
  2. Step 2: Convert to fraction form
    341,853/736,221 = 736,221/x
  3. Step 3: Cross multiply
    341,853x = 736,221 × 736,221
  4. Step 4: Simplify right side
    341,853x = 542,021,360,841
  5. Step 5: Solve for x
    x = 542,021,360,841/341,853
  6. Step 6: Final answer
    x = 1,585,539.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.