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Finding the Third Proportional to 651,990.50 and 997,351

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Solution

The third proportional to 651,990.50 and 997,351 is: 1,525,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,990.50 : 997,351 = 997,351 : x
  2. Step 2: Convert to fraction form
    651,990.50/997,351 = 997,351/x
  3. Step 3: Cross multiply
    651,990.50x = 997,351 × 997,351
  4. Step 4: Simplify right side
    651,990.50x = 994,709,017,201
  5. Step 5: Solve for x
    x = 994,709,017,201/651,990.50
  6. Step 6: Final answer
    x = 1,525,649.56

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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.