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Finding the Third Proportional to 272,994 and 590,378

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Solution

The third proportional to 272,994 and 590,378 is: 1,276,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,994 : 590,378 = 590,378 : x
  2. Step 2: Convert to fraction form
    272,994/590,378 = 590,378/x
  3. Step 3: Cross multiply
    272,994x = 590,378 × 590,378
  4. Step 4: Simplify right side
    272,994x = 348,546,182,884
  5. Step 5: Solve for x
    x = 348,546,182,884/272,994
  6. Step 6: Final answer
    x = 1,276,754.01

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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.