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Finding the Third Proportional to 291,984 and 630,576

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Solution

The third proportional to 291,984 and 630,576 is: 1,361,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,984 : 630,576 = 630,576 : x
  2. Step 2: Convert to fraction form
    291,984/630,576 = 630,576/x
  3. Step 3: Cross multiply
    291,984x = 630,576 × 630,576
  4. Step 4: Simplify right side
    291,984x = 397,626,091,776
  5. Step 5: Solve for x
    x = 397,626,091,776/291,984
  6. Step 6: Final answer
    x = 1,361,807.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.