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Finding the Third Proportional to 378,346.50 and 630,576

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Solution

The third proportional to 378,346.50 and 630,576 is: 1,050,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,346.50 : 630,576 = 630,576 : x
  2. Step 2: Convert to fraction form
    378,346.50/630,576 = 630,576/x
  3. Step 3: Cross multiply
    378,346.50x = 630,576 × 630,576
  4. Step 4: Simplify right side
    378,346.50x = 397,626,091,776
  5. Step 5: Solve for x
    x = 397,626,091,776/378,346.50
  6. Step 6: Final answer
    x = 1,050,957.50

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.