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Finding the Third Proportional to 345,063 and 750,873

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Solution

The third proportional to 345,063 and 750,873 is: 1,633,934.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,063 : 750,873 = 750,873 : x
  2. Step 2: Convert to fraction form
    345,063/750,873 = 750,873/x
  3. Step 3: Cross multiply
    345,063x = 750,873 × 750,873
  4. Step 4: Simplify right side
    345,063x = 563,810,262,129
  5. Step 5: Solve for x
    x = 563,810,262,129/345,063
  6. Step 6: Final answer
    x = 1,633,934.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.