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Finding the Third Proportional to 330,624 and 716,184

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Solution

The third proportional to 330,624 and 716,184 is: 1,551,368.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,624 : 716,184 = 716,184 : x
  2. Step 2: Convert to fraction form
    330,624/716,184 = 716,184/x
  3. Step 3: Cross multiply
    330,624x = 716,184 × 716,184
  4. Step 4: Simplify right side
    330,624x = 512,919,521,856
  5. Step 5: Solve for x
    x = 512,919,521,856/330,624
  6. Step 6: Final answer
    x = 1,551,368.09

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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.