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Finding the Third Proportional to 445,025 and 688,656

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Solution

The third proportional to 445,025 and 688,656 is: 1,065,663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,025 : 688,656 = 688,656 : x
  2. Step 2: Convert to fraction form
    445,025/688,656 = 688,656/x
  3. Step 3: Cross multiply
    445,025x = 688,656 × 688,656
  4. Step 4: Simplify right side
    445,025x = 474,247,086,336
  5. Step 5: Solve for x
    x = 474,247,086,336/445,025
  6. Step 6: Final answer
    x = 1,065,663.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.