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Finding the Third Proportional to 431,417 and 653,157.50

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Solution

The third proportional to 431,417 and 653,157.50 is: 988,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,417 : 653,157.50 = 653,157.50 : x
  2. Step 2: Convert to fraction form
    431,417/653,157.50 = 653,157.50/x
  3. Step 3: Cross multiply
    431,417x = 653,157.50 × 653,157.50
  4. Step 4: Simplify right side
    431,417x = 426,614,719,806.25
  5. Step 5: Solve for x
    x = 426,614,719,806.25/431,417
  6. Step 6: Final answer
    x = 988,868.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.