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Finding the Third Proportional to 307,713 and 646,527

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Solution

The third proportional to 307,713 and 646,527 is: 1,358,399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,713 : 646,527 = 646,527 : x
  2. Step 2: Convert to fraction form
    307,713/646,527 = 646,527/x
  3. Step 3: Cross multiply
    307,713x = 646,527 × 646,527
  4. Step 4: Simplify right side
    307,713x = 417,997,161,729
  5. Step 5: Solve for x
    x = 417,997,161,729/307,713
  6. Step 6: Final answer
    x = 1,358,399.42

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.