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Finding the Third Proportional to 431,697 and 653,566.50

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Solution

The third proportional to 431,697 and 653,566.50 is: 989,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,697 : 653,566.50 = 653,566.50 : x
  2. Step 2: Convert to fraction form
    431,697/653,566.50 = 653,566.50/x
  3. Step 3: Cross multiply
    431,697x = 653,566.50 × 653,566.50
  4. Step 4: Simplify right side
    431,697x = 427,149,169,922.25
  5. Step 5: Solve for x
    x = 427,149,169,922.25/431,697
  6. Step 6: Final answer
    x = 989,465.23

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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.