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Finding the Third Proportional to 607,143 and 905,793.75

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Solution

The third proportional to 607,143 and 905,793.75 is: 1,351,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,143 : 905,793.75 = 905,793.75 : x
  2. Step 2: Convert to fraction form
    607,143/905,793.75 = 905,793.75/x
  3. Step 3: Cross multiply
    607,143x = 905,793.75 × 905,793.75
  4. Step 4: Simplify right side
    607,143x = 820,462,317,539.06
  5. Step 5: Solve for x
    x = 820,462,317,539.06/607,143
  6. Step 6: Final answer
    x = 1,351,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.