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Finding the Third Proportional to 634,343 and 916,515.25

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Solution

The third proportional to 634,343 and 916,515.25 is: 1,324,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,343 : 916,515.25 = 916,515.25 : x
  2. Step 2: Convert to fraction form
    634,343/916,515.25 = 916,515.25/x
  3. Step 3: Cross multiply
    634,343x = 916,515.25 × 916,515.25
  4. Step 4: Simplify right side
    634,343x = 840,000,203,482.56
  5. Step 5: Solve for x
    x = 840,000,203,482.56/634,343
  6. Step 6: Final answer
    x = 1,324,205.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.