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Finding the Third Proportional to 461,542.50 and 996,897

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Solution

The third proportional to 461,542.50 and 996,897 is: 2,153,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,542.50 : 996,897 = 996,897 : x
  2. Step 2: Convert to fraction form
    461,542.50/996,897 = 996,897/x
  3. Step 3: Cross multiply
    461,542.50x = 996,897 × 996,897
  4. Step 4: Simplify right side
    461,542.50x = 993,803,628,609
  5. Step 5: Solve for x
    x = 993,803,628,609/461,542.50
  6. Step 6: Final answer
    x = 2,153,222.35

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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.