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Finding the Third Proportional to 427,657.22 and 597,891.06

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Solution

The third proportional to 427,657.22 and 597,891.06 is: 835,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,657.22 : 597,891.06 = 597,891.06 : x
  2. Step 2: Convert to fraction form
    427,657.22/597,891.06 = 597,891.06/x
  3. Step 3: Cross multiply
    427,657.22x = 597,891.06 × 597,891.06
  4. Step 4: Simplify right side
    427,657.22x = 357,473,717,946.36
  5. Step 5: Solve for x
    x = 357,473,717,946.36/427,657.22
  6. Step 6: Final answer
    x = 835,888.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.