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Finding the Third Proportional to 651,478.50 and 996,590.25

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Solution

The third proportional to 651,478.50 and 996,590.25 is: 1,524,520.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,478.50 : 996,590.25 = 996,590.25 : x
  2. Step 2: Convert to fraction form
    651,478.50/996,590.25 = 996,590.25/x
  3. Step 3: Cross multiply
    651,478.50x = 996,590.25 × 996,590.25
  4. Step 4: Simplify right side
    651,478.50x = 993,192,126,395.06
  5. Step 5: Solve for x
    x = 993,192,126,395.06/651,478.50
  6. Step 6: Final answer
    x = 1,524,520.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.