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Finding the Third Proportional to 499,756.69 and 767,681.25

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Solution

The third proportional to 499,756.69 and 767,681.25 is: 1,179,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,756.69 : 767,681.25 = 767,681.25 : x
  2. Step 2: Convert to fraction form
    499,756.69/767,681.25 = 767,681.25/x
  3. Step 3: Cross multiply
    499,756.69x = 767,681.25 × 767,681.25
  4. Step 4: Simplify right side
    499,756.69x = 589,334,501,601.56
  5. Step 5: Solve for x
    x = 589,334,501,601.56/499,756.69
  6. Step 6: Final answer
    x = 1,179,242.85

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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.