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Finding the Third Proportional to 250,094 and 578,471

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Solution

The third proportional to 250,094 and 578,471 is: 1,338,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,094 : 578,471 = 578,471 : x
  2. Step 2: Convert to fraction form
    250,094/578,471 = 578,471/x
  3. Step 3: Cross multiply
    250,094x = 578,471 × 578,471
  4. Step 4: Simplify right side
    250,094x = 334,628,697,841
  5. Step 5: Solve for x
    x = 334,628,697,841/250,094
  6. Step 6: Final answer
    x = 1,338,011.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.