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Finding the Third Proportional to 295,431.75 and 430,230.38

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Solution

The third proportional to 295,431.75 and 430,230.38 is: 626,534.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,431.75 : 430,230.38 = 430,230.38 : x
  2. Step 2: Convert to fraction form
    295,431.75/430,230.38 = 430,230.38/x
  3. Step 3: Cross multiply
    295,431.75x = 430,230.38 × 430,230.38
  4. Step 4: Simplify right side
    295,431.75x = 185,098,175,572.64
  5. Step 5: Solve for x
    x = 185,098,175,572.64/295,431.75
  6. Step 6: Final answer
    x = 626,534.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.