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Finding the Third Proportional to 343,397.25 and 525,305.25

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Solution

The third proportional to 343,397.25 and 525,305.25 is: 803,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,397.25 : 525,305.25 = 525,305.25 : x
  2. Step 2: Convert to fraction form
    343,397.25/525,305.25 = 525,305.25/x
  3. Step 3: Cross multiply
    343,397.25x = 525,305.25 × 525,305.25
  4. Step 4: Simplify right side
    343,397.25x = 275,945,605,677.56
  5. Step 5: Solve for x
    x = 275,945,605,677.56/343,397.25
  6. Step 6: Final answer
    x = 803,575.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.