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Finding the Third Proportional to 363,534 and 773,724

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Solution

The third proportional to 363,534 and 773,724 is: 1,646,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,534 : 773,724 = 773,724 : x
  2. Step 2: Convert to fraction form
    363,534/773,724 = 773,724/x
  3. Step 3: Cross multiply
    363,534x = 773,724 × 773,724
  4. Step 4: Simplify right side
    363,534x = 598,648,828,176
  5. Step 5: Solve for x
    x = 598,648,828,176/363,534
  6. Step 6: Final answer
    x = 1,646,747.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.