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Finding the Third Proportional to 325,851.61 and 700,736.06

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Solution

The third proportional to 325,851.61 and 700,736.06 is: 1,506,916.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,851.61 : 700,736.06 = 700,736.06 : x
  2. Step 2: Convert to fraction form
    325,851.61/700,736.06 = 700,736.06/x
  3. Step 3: Cross multiply
    325,851.61x = 700,736.06 × 700,736.06
  4. Step 4: Simplify right side
    325,851.61x = 491,031,029,288.00
  5. Step 5: Solve for x
    x = 491,031,029,288.00/325,851.61
  6. Step 6: Final answer
    x = 1,506,916.08

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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.