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Finding the Third Proportional to 319,034.25 and 700,962.50

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Solution

The third proportional to 319,034.25 and 700,962.50 is: 1,540,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,034.25 : 700,962.50 = 700,962.50 : x
  2. Step 2: Convert to fraction form
    319,034.25/700,962.50 = 700,962.50/x
  3. Step 3: Cross multiply
    319,034.25x = 700,962.50 × 700,962.50
  4. Step 4: Simplify right side
    319,034.25x = 491,348,426,406.25
  5. Step 5: Solve for x
    x = 491,348,426,406.25/319,034.25
  6. Step 6: Final answer
    x = 1,540,111.84

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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.