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Finding the Third Proportional to 499,464 and 746,244

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Solution

The third proportional to 499,464 and 746,244 is: 1,114,955.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,464 : 746,244 = 746,244 : x
  2. Step 2: Convert to fraction form
    499,464/746,244 = 746,244/x
  3. Step 3: Cross multiply
    499,464x = 746,244 × 746,244
  4. Step 4: Simplify right side
    499,464x = 556,880,107,536
  5. Step 5: Solve for x
    x = 556,880,107,536/499,464
  6. Step 6: Final answer
    x = 1,114,955.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.