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Finding the Third Proportional to 455,241 and 655,744.50

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Solution

The third proportional to 455,241 and 655,744.50 is: 944,556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,241 : 655,744.50 = 655,744.50 : x
  2. Step 2: Convert to fraction form
    455,241/655,744.50 = 655,744.50/x
  3. Step 3: Cross multiply
    455,241x = 655,744.50 × 655,744.50
  4. Step 4: Simplify right side
    455,241x = 430,000,849,280.25
  5. Step 5: Solve for x
    x = 430,000,849,280.25/455,241
  6. Step 6: Final answer
    x = 944,556.51

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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.