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Finding the Third Proportional to 385,603.50 and 845,974.50

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Solution

The third proportional to 385,603.50 and 845,974.50 is: 1,855,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,603.50 : 845,974.50 = 845,974.50 : x
  2. Step 2: Convert to fraction form
    385,603.50/845,974.50 = 845,974.50/x
  3. Step 3: Cross multiply
    385,603.50x = 845,974.50 × 845,974.50
  4. Step 4: Simplify right side
    385,603.50x = 715,672,854,650.25
  5. Step 5: Solve for x
    x = 715,672,854,650.25/385,603.50
  6. Step 6: Final answer
    x = 1,855,981.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.