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Finding the Third Proportional to 326,995 and 705,582

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Solution

The third proportional to 326,995 and 705,582 is: 1,522,487.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,995 : 705,582 = 705,582 : x
  2. Step 2: Convert to fraction form
    326,995/705,582 = 705,582/x
  3. Step 3: Cross multiply
    326,995x = 705,582 × 705,582
  4. Step 4: Simplify right side
    326,995x = 497,845,958,724
  5. Step 5: Solve for x
    x = 497,845,958,724/326,995
  6. Step 6: Final answer
    x = 1,522,487.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.