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Finding the Third Proportional to 499,768 and 730,914

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Solution

The third proportional to 499,768 and 730,914 is: 1,068,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,768 : 730,914 = 730,914 : x
  2. Step 2: Convert to fraction form
    499,768/730,914 = 730,914/x
  3. Step 3: Cross multiply
    499,768x = 730,914 × 730,914
  4. Step 4: Simplify right side
    499,768x = 534,235,275,396
  5. Step 5: Solve for x
    x = 534,235,275,396/499,768
  6. Step 6: Final answer
    x = 1,068,966.55

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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.