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Finding the Third Proportional to 330,592 and 716,156

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Solution

The third proportional to 330,592 and 716,156 is: 1,551,396.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,592 : 716,156 = 716,156 : x
  2. Step 2: Convert to fraction form
    330,592/716,156 = 716,156/x
  3. Step 3: Cross multiply
    330,592x = 716,156 × 716,156
  4. Step 4: Simplify right side
    330,592x = 512,879,416,336
  5. Step 5: Solve for x
    x = 512,879,416,336/330,592
  6. Step 6: Final answer
    x = 1,551,396.94

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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.