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Finding the Third Proportional to 307,769.63 and 460,424.25

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Solution

The third proportional to 307,769.63 and 460,424.25 is: 688,796.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,769.63 : 460,424.25 = 460,424.25 : x
  2. Step 2: Convert to fraction form
    307,769.63/460,424.25 = 460,424.25/x
  3. Step 3: Cross multiply
    307,769.63x = 460,424.25 × 460,424.25
  4. Step 4: Simplify right side
    307,769.63x = 211,990,489,988.06
  5. Step 5: Solve for x
    x = 211,990,489,988.06/307,769.63
  6. Step 6: Final answer
    x = 688,796.01

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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.