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Finding the Third Proportional to 371,167.50 and 794,823

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Solution

The third proportional to 371,167.50 and 794,823 is: 1,702,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,167.50 : 794,823 = 794,823 : x
  2. Step 2: Convert to fraction form
    371,167.50/794,823 = 794,823/x
  3. Step 3: Cross multiply
    371,167.50x = 794,823 × 794,823
  4. Step 4: Simplify right side
    371,167.50x = 631,743,601,329
  5. Step 5: Solve for x
    x = 631,743,601,329/371,167.50
  6. Step 6: Final answer
    x = 1,702,044.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.