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Finding the Third Proportional to 272,010 and 596,544

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Solution

The third proportional to 272,010 and 596,544 is: 1,308,278.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,010 : 596,544 = 596,544 : x
  2. Step 2: Convert to fraction form
    272,010/596,544 = 596,544/x
  3. Step 3: Cross multiply
    272,010x = 596,544 × 596,544
  4. Step 4: Simplify right side
    272,010x = 355,864,743,936
  5. Step 5: Solve for x
    x = 355,864,743,936/272,010
  6. Step 6: Final answer
    x = 1,308,278.17

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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.