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Finding the Third Proportional to 319,033 and 700,960

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Solution

The third proportional to 319,033 and 700,960 is: 1,540,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,033 : 700,960 = 700,960 : x
  2. Step 2: Convert to fraction form
    319,033/700,960 = 700,960/x
  3. Step 3: Cross multiply
    319,033x = 700,960 × 700,960
  4. Step 4: Simplify right side
    319,033x = 491,344,921,600
  5. Step 5: Solve for x
    x = 491,344,921,600/319,033
  6. Step 6: Final answer
    x = 1,540,106.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.