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Finding the Third Proportional to 272,732 and 596,504

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Solution

The third proportional to 272,732 and 596,504 is: 1,304,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,732 : 596,504 = 596,504 : x
  2. Step 2: Convert to fraction form
    272,732/596,504 = 596,504/x
  3. Step 3: Cross multiply
    272,732x = 596,504 × 596,504
  4. Step 4: Simplify right side
    272,732x = 355,817,022,016
  5. Step 5: Solve for x
    x = 355,817,022,016/272,732
  6. Step 6: Final answer
    x = 1,304,639.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.