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Finding the Third Proportional to 630,342.75 and 946,159.69

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Solution

The third proportional to 630,342.75 and 946,159.69 is: 1,420,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,342.75 : 946,159.69 = 946,159.69 : x
  2. Step 2: Convert to fraction form
    630,342.75/946,159.69 = 946,159.69/x
  3. Step 3: Cross multiply
    630,342.75x = 946,159.69 × 946,159.69
  4. Step 4: Simplify right side
    630,342.75x = 895,218,154,250.10
  5. Step 5: Solve for x
    x = 895,218,154,250.10/630,342.75
  6. Step 6: Final answer
    x = 1,420,208.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.