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Finding the Third Proportional to 285,056 and 614,298

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Solution

The third proportional to 285,056 and 614,298 is: 1,323,817.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,056 : 614,298 = 614,298 : x
  2. Step 2: Convert to fraction form
    285,056/614,298 = 614,298/x
  3. Step 3: Cross multiply
    285,056x = 614,298 × 614,298
  4. Step 4: Simplify right side
    285,056x = 377,362,032,804
  5. Step 5: Solve for x
    x = 377,362,032,804/285,056
  6. Step 6: Final answer
    x = 1,323,817.19

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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.