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Finding the Third Proportional to 254,563 and 502,700

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Solution

The third proportional to 254,563 and 502,700 is: 992,710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,563 : 502,700 = 502,700 : x
  2. Step 2: Convert to fraction form
    254,563/502,700 = 502,700/x
  3. Step 3: Cross multiply
    254,563x = 502,700 × 502,700
  4. Step 4: Simplify right side
    254,563x = 252,707,290,000
  5. Step 5: Solve for x
    x = 252,707,290,000/254,563
  6. Step 6: Final answer
    x = 992,710.21

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.