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Finding the Third Proportional to 630,235.50 and 952,857.38

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Solution

The third proportional to 630,235.50 and 952,857.38 is: 1,440,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,235.50 : 952,857.38 = 952,857.38 : x
  2. Step 2: Convert to fraction form
    630,235.50/952,857.38 = 952,857.38/x
  3. Step 3: Cross multiply
    630,235.50x = 952,857.38 × 952,857.38
  4. Step 4: Simplify right side
    630,235.50x = 907,937,177,091.89
  5. Step 5: Solve for x
    x = 907,937,177,091.89/630,235.50
  6. Step 6: Final answer
    x = 1,440,631.60

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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.