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Finding the Third Proportional to 335,904 and 503,643

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Solution

The third proportional to 335,904 and 503,643 is: 755,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,904 : 503,643 = 503,643 : x
  2. Step 2: Convert to fraction form
    335,904/503,643 = 503,643/x
  3. Step 3: Cross multiply
    335,904x = 503,643 × 503,643
  4. Step 4: Simplify right side
    335,904x = 253,656,271,449
  5. Step 5: Solve for x
    x = 253,656,271,449/335,904
  6. Step 6: Final answer
    x = 755,145.14

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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.