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Finding the Third Proportional to 319,790 and 687,964

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Solution

The third proportional to 319,790 and 687,964 is: 1,480,016.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,790 : 687,964 = 687,964 : x
  2. Step 2: Convert to fraction form
    319,790/687,964 = 687,964/x
  3. Step 3: Cross multiply
    319,790x = 687,964 × 687,964
  4. Step 4: Simplify right side
    319,790x = 473,294,465,296
  5. Step 5: Solve for x
    x = 473,294,465,296/319,790
  6. Step 6: Final answer
    x = 1,480,016.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.