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Finding the Third Proportional to 345,024 and 707,259

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Solution

The third proportional to 345,024 and 707,259 is: 1,449,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,024 : 707,259 = 707,259 : x
  2. Step 2: Convert to fraction form
    345,024/707,259 = 707,259/x
  3. Step 3: Cross multiply
    345,024x = 707,259 × 707,259
  4. Step 4: Simplify right side
    345,024x = 500,215,293,081
  5. Step 5: Solve for x
    x = 500,215,293,081/345,024
  6. Step 6: Final answer
    x = 1,449,798.54

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.