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Finding the Third Proportional to 461,524.50 and 996,860.25

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Solution

The third proportional to 461,524.50 and 996,860.25 is: 2,153,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,524.50 : 996,860.25 = 996,860.25 : x
  2. Step 2: Convert to fraction form
    461,524.50/996,860.25 = 996,860.25/x
  3. Step 3: Cross multiply
    461,524.50x = 996,860.25 × 996,860.25
  4. Step 4: Simplify right side
    461,524.50x = 993,730,358,030.06
  5. Step 5: Solve for x
    x = 993,730,358,030.06/461,524.50
  6. Step 6: Final answer
    x = 2,153,147.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.