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Finding the Third Proportional to 507,237.50 and 1,199,561

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Solution

The third proportional to 507,237.50 and 1,199,561 is: 2,836,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,237.50 : 1,199,561 = 1,199,561 : x
  2. Step 2: Convert to fraction form
    507,237.50/1,199,561 = 1,199,561/x
  3. Step 3: Cross multiply
    507,237.50x = 1,199,561 × 1,199,561
  4. Step 4: Simplify right side
    507,237.50x = 1,438,946,592,721
  5. Step 5: Solve for x
    x = 1,438,946,592,721/507,237.50
  6. Step 6: Final answer
    x = 2,836,830.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.