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Finding the Third Proportional to 371,863.50 and 805,549.50

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Solution

The third proportional to 371,863.50 and 805,549.50 is: 1,745,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,863.50 : 805,549.50 = 805,549.50 : x
  2. Step 2: Convert to fraction form
    371,863.50/805,549.50 = 805,549.50/x
  3. Step 3: Cross multiply
    371,863.50x = 805,549.50 × 805,549.50
  4. Step 4: Simplify right side
    371,863.50x = 648,909,996,950.25
  5. Step 5: Solve for x
    x = 648,909,996,950.25/371,863.50
  6. Step 6: Final answer
    x = 1,745,022.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.