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Finding the Third Proportional to 291,388.50 and 597,220.88

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Solution

The third proportional to 291,388.50 and 597,220.88 is: 1,224,045.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,388.50 : 597,220.88 = 597,220.88 : x
  2. Step 2: Convert to fraction form
    291,388.50/597,220.88 = 597,220.88/x
  3. Step 3: Cross multiply
    291,388.50x = 597,220.88 × 597,220.88
  4. Step 4: Simplify right side
    291,388.50x = 356,672,773,535.77
  5. Step 5: Solve for x
    x = 356,672,773,535.77/291,388.50
  6. Step 6: Final answer
    x = 1,224,045.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.