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Finding the Third Proportional to 436,809 and 658,294.50

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Solution

The third proportional to 436,809 and 658,294.50 is: 992,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,809 : 658,294.50 = 658,294.50 : x
  2. Step 2: Convert to fraction form
    436,809/658,294.50 = 658,294.50/x
  3. Step 3: Cross multiply
    436,809x = 658,294.50 × 658,294.50
  4. Step 4: Simplify right side
    436,809x = 433,351,648,730.25
  5. Step 5: Solve for x
    x = 433,351,648,730.25/436,809
  6. Step 6: Final answer
    x = 992,084.98

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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.