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Finding the Third Proportional to 435,602.25 and 701,761.50

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Solution

The third proportional to 435,602.25 and 701,761.50 is: 1,130,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,602.25 : 701,761.50 = 701,761.50 : x
  2. Step 2: Convert to fraction form
    435,602.25/701,761.50 = 701,761.50/x
  3. Step 3: Cross multiply
    435,602.25x = 701,761.50 × 701,761.50
  4. Step 4: Simplify right side
    435,602.25x = 492,469,202,882.25
  5. Step 5: Solve for x
    x = 492,469,202,882.25/435,602.25
  6. Step 6: Final answer
    x = 1,130,547.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.