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Finding the Third Proportional to 287,192 and 608,944

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Solution

The third proportional to 287,192 and 608,944 is: 1,291,166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,192 : 608,944 = 608,944 : x
  2. Step 2: Convert to fraction form
    287,192/608,944 = 608,944/x
  3. Step 3: Cross multiply
    287,192x = 608,944 × 608,944
  4. Step 4: Simplify right side
    287,192x = 370,812,795,136
  5. Step 5: Solve for x
    x = 370,812,795,136/287,192
  6. Step 6: Final answer
    x = 1,291,166.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.