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Finding the Third Proportional to 325,294 and 704,888

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Solution

The third proportional to 325,294 and 704,888 is: 1,527,440.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,294 : 704,888 = 704,888 : x
  2. Step 2: Convert to fraction form
    325,294/704,888 = 704,888/x
  3. Step 3: Cross multiply
    325,294x = 704,888 × 704,888
  4. Step 4: Simplify right side
    325,294x = 496,867,092,544
  5. Step 5: Solve for x
    x = 496,867,092,544/325,294
  6. Step 6: Final answer
    x = 1,527,440.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.