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Finding the Third Proportional to 361,701 and 812,358

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Solution

The third proportional to 361,701 and 812,358 is: 1,824,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,701 : 812,358 = 812,358 : x
  2. Step 2: Convert to fraction form
    361,701/812,358 = 812,358/x
  3. Step 3: Cross multiply
    361,701x = 812,358 × 812,358
  4. Step 4: Simplify right side
    361,701x = 659,925,520,164
  5. Step 5: Solve for x
    x = 659,925,520,164/361,701
  6. Step 6: Final answer
    x = 1,824,505.66

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.