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Finding the Third Proportional to 502,590.75 and 777,215.25

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Solution

The third proportional to 502,590.75 and 777,215.25 is: 1,201,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,590.75 : 777,215.25 = 777,215.25 : x
  2. Step 2: Convert to fraction form
    502,590.75/777,215.25 = 777,215.25/x
  3. Step 3: Cross multiply
    502,590.75x = 777,215.25 × 777,215.25
  4. Step 4: Simplify right side
    502,590.75x = 604,063,544,832.56
  5. Step 5: Solve for x
    x = 604,063,544,832.56/502,590.75
  6. Step 6: Final answer
    x = 1,201,899.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.