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Finding the Third Proportional to 616,801.50 and 1,315,035

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Solution

The third proportional to 616,801.50 and 1,315,035 is: 2,803,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,801.50 : 1,315,035 = 1,315,035 : x
  2. Step 2: Convert to fraction form
    616,801.50/1,315,035 = 1,315,035/x
  3. Step 3: Cross multiply
    616,801.50x = 1,315,035 × 1,315,035
  4. Step 4: Simplify right side
    616,801.50x = 1,729,317,051,225
  5. Step 5: Solve for x
    x = 1,729,317,051,225/616,801.50
  6. Step 6: Final answer
    x = 2,803,684.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.