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Finding the Third Proportional to 499,088 and 767,909

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Solution

The third proportional to 499,088 and 767,909 is: 1,181,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,088 : 767,909 = 767,909 : x
  2. Step 2: Convert to fraction form
    499,088/767,909 = 767,909/x
  3. Step 3: Cross multiply
    499,088x = 767,909 × 767,909
  4. Step 4: Simplify right side
    499,088x = 589,684,232,281
  5. Step 5: Solve for x
    x = 589,684,232,281/499,088
  6. Step 6: Final answer
    x = 1,181,523.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.