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Finding the Third Proportional to 397,507.50 and 869,272.50

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Solution

The third proportional to 397,507.50 and 869,272.50 is: 1,900,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,507.50 : 869,272.50 = 869,272.50 : x
  2. Step 2: Convert to fraction form
    397,507.50/869,272.50 = 869,272.50/x
  3. Step 3: Cross multiply
    397,507.50x = 869,272.50 × 869,272.50
  4. Step 4: Simplify right side
    397,507.50x = 755,634,679,256.25
  5. Step 5: Solve for x
    x = 755,634,679,256.25/397,507.50
  6. Step 6: Final answer
    x = 1,900,931.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.