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Finding the Third Proportional to 330,612 and 716,168

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Solution

The third proportional to 330,612 and 716,168 is: 1,551,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,612 : 716,168 = 716,168 : x
  2. Step 2: Convert to fraction form
    330,612/716,168 = 716,168/x
  3. Step 3: Cross multiply
    330,612x = 716,168 × 716,168
  4. Step 4: Simplify right side
    330,612x = 512,896,604,224
  5. Step 5: Solve for x
    x = 512,896,604,224/330,612
  6. Step 6: Final answer
    x = 1,551,355.08

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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.