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Finding the Third Proportional to 270,469.13 and 578,459.81

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Solution

The third proportional to 270,469.13 and 578,459.81 is: 1,237,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,469.13 : 578,459.81 = 578,459.81 : x
  2. Step 2: Convert to fraction form
    270,469.13/578,459.81 = 578,459.81/x
  3. Step 3: Cross multiply
    270,469.13x = 578,459.81 × 578,459.81
  4. Step 4: Simplify right side
    270,469.13x = 334,615,754,677.54
  5. Step 5: Solve for x
    x = 334,615,754,677.54/270,469.13
  6. Step 6: Final answer
    x = 1,237,168.03

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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.