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Finding the Third Proportional to 476,136 and 695,976

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Solution

The third proportional to 476,136 and 695,976 is: 1,017,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,136 : 695,976 = 695,976 : x
  2. Step 2: Convert to fraction form
    476,136/695,976 = 695,976/x
  3. Step 3: Cross multiply
    476,136x = 695,976 × 695,976
  4. Step 4: Simplify right side
    476,136x = 484,382,592,576
  5. Step 5: Solve for x
    x = 484,382,592,576/476,136
  6. Step 6: Final answer
    x = 1,017,319.83

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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.