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Finding the Third Proportional to 335,860 and 503,582

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Solution

The third proportional to 335,860 and 503,582 is: 755,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,860 : 503,582 = 503,582 : x
  2. Step 2: Convert to fraction form
    335,860/503,582 = 503,582/x
  3. Step 3: Cross multiply
    335,860x = 503,582 × 503,582
  4. Step 4: Simplify right side
    335,860x = 253,594,830,724
  5. Step 5: Solve for x
    x = 253,594,830,724/335,860
  6. Step 6: Final answer
    x = 755,061.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.