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Finding the Third Proportional to 499,758 and 730,894

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Solution

The third proportional to 499,758 and 730,894 is: 1,068,929.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,758 : 730,894 = 730,894 : x
  2. Step 2: Convert to fraction form
    499,758/730,894 = 730,894/x
  3. Step 3: Cross multiply
    499,758x = 730,894 × 730,894
  4. Step 4: Simplify right side
    499,758x = 534,206,039,236
  5. Step 5: Solve for x
    x = 534,206,039,236/499,758
  6. Step 6: Final answer
    x = 1,068,929.44

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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.