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Finding the Third Proportional to 307,762 and 460,412

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Solution

The third proportional to 307,762 and 460,412 is: 688,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,762 : 460,412 = 460,412 : x
  2. Step 2: Convert to fraction form
    307,762/460,412 = 460,412/x
  3. Step 3: Cross multiply
    307,762x = 460,412 × 460,412
  4. Step 4: Simplify right side
    307,762x = 211,979,209,744
  5. Step 5: Solve for x
    x = 211,979,209,744/307,762
  6. Step 6: Final answer
    x = 688,776.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.