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Finding the Third Proportional to 319,034 and 700,963

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Solution

The third proportional to 319,034 and 700,963 is: 1,540,115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,034 : 700,963 = 700,963 : x
  2. Step 2: Convert to fraction form
    319,034/700,963 = 700,963/x
  3. Step 3: Cross multiply
    319,034x = 700,963 × 700,963
  4. Step 4: Simplify right side
    319,034x = 491,349,127,369
  5. Step 5: Solve for x
    x = 491,349,127,369/319,034
  6. Step 6: Final answer
    x = 1,540,115.25

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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.