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Finding the Third Proportional to 368,347.50 and 802,284.75

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Solution

The third proportional to 368,347.50 and 802,284.75 is: 1,747,428.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,347.50 : 802,284.75 = 802,284.75 : x
  2. Step 2: Convert to fraction form
    368,347.50/802,284.75 = 802,284.75/x
  3. Step 3: Cross multiply
    368,347.50x = 802,284.75 × 802,284.75
  4. Step 4: Simplify right side
    368,347.50x = 643,660,820,082.56
  5. Step 5: Solve for x
    x = 643,660,820,082.56/368,347.50
  6. Step 6: Final answer
    x = 1,747,428.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.