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Finding the Third Proportional to 499,736 and 730,942

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Solution

The third proportional to 499,736 and 730,942 is: 1,069,116.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,736 : 730,942 = 730,942 : x
  2. Step 2: Convert to fraction form
    499,736/730,942 = 730,942/x
  3. Step 3: Cross multiply
    499,736x = 730,942 × 730,942
  4. Step 4: Simplify right side
    499,736x = 534,276,207,364
  5. Step 5: Solve for x
    x = 534,276,207,364/499,736
  6. Step 6: Final answer
    x = 1,069,116.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.