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Finding the Third Proportional to 350,508 and 760,066

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Solution

The third proportional to 350,508 and 760,066 is: 1,648,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,508 : 760,066 = 760,066 : x
  2. Step 2: Convert to fraction form
    350,508/760,066 = 760,066/x
  3. Step 3: Cross multiply
    350,508x = 760,066 × 760,066
  4. Step 4: Simplify right side
    350,508x = 577,700,324,356
  5. Step 5: Solve for x
    x = 577,700,324,356/350,508
  6. Step 6: Final answer
    x = 1,648,180.14

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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.