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Finding the Third Proportional to 272,156 and 590,904

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Solution

The third proportional to 272,156 and 590,904 is: 1,282,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,156 : 590,904 = 590,904 : x
  2. Step 2: Convert to fraction form
    272,156/590,904 = 590,904/x
  3. Step 3: Cross multiply
    272,156x = 590,904 × 590,904
  4. Step 4: Simplify right side
    272,156x = 349,167,537,216
  5. Step 5: Solve for x
    x = 349,167,537,216/272,156
  6. Step 6: Final answer
    x = 1,282,968.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.