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Finding the Third Proportional to 307,802 and 640,066

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Solution

The third proportional to 307,802 and 640,066 is: 1,331,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,802 : 640,066 = 640,066 : x
  2. Step 2: Convert to fraction form
    307,802/640,066 = 640,066/x
  3. Step 3: Cross multiply
    307,802x = 640,066 × 640,066
  4. Step 4: Simplify right side
    307,802x = 409,684,484,356
  5. Step 5: Solve for x
    x = 409,684,484,356/307,802
  6. Step 6: Final answer
    x = 1,331,000.07

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.