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Finding the Third Proportional to 369,452 and 797,224

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Solution

The third proportional to 369,452 and 797,224 is: 1,720,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,452 : 797,224 = 797,224 : x
  2. Step 2: Convert to fraction form
    369,452/797,224 = 797,224/x
  3. Step 3: Cross multiply
    369,452x = 797,224 × 797,224
  4. Step 4: Simplify right side
    369,452x = 635,566,106,176
  5. Step 5: Solve for x
    x = 635,566,106,176/369,452
  6. Step 6: Final answer
    x = 1,720,294.13

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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.