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Finding the Third Proportional to 570,649.50 and 1,349,523

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Solution

The third proportional to 570,649.50 and 1,349,523 is: 3,191,472.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,649.50 : 1,349,523 = 1,349,523 : x
  2. Step 2: Convert to fraction form
    570,649.50/1,349,523 = 1,349,523/x
  3. Step 3: Cross multiply
    570,649.50x = 1,349,523 × 1,349,523
  4. Step 4: Simplify right side
    570,649.50x = 1,821,212,327,529
  5. Step 5: Solve for x
    x = 1,821,212,327,529/570,649.50
  6. Step 6: Final answer
    x = 3,191,472.75

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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.