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Finding the Third Proportional to 272,388 and 581,832

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Solution

The third proportional to 272,388 and 581,832 is: 1,242,817.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,388 : 581,832 = 581,832 : x
  2. Step 2: Convert to fraction form
    272,388/581,832 = 581,832/x
  3. Step 3: Cross multiply
    272,388x = 581,832 × 581,832
  4. Step 4: Simplify right side
    272,388x = 338,528,476,224
  5. Step 5: Solve for x
    x = 338,528,476,224/272,388
  6. Step 6: Final answer
    x = 1,242,817.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.