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Finding the Third Proportional to 500,653.50 and 774,739.50

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Solution

The third proportional to 500,653.50 and 774,739.50 is: 1,198,875.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,653.50 : 774,739.50 = 774,739.50 : x
  2. Step 2: Convert to fraction form
    500,653.50/774,739.50 = 774,739.50/x
  3. Step 3: Cross multiply
    500,653.50x = 774,739.50 × 774,739.50
  4. Step 4: Simplify right side
    500,653.50x = 600,221,292,860.25
  5. Step 5: Solve for x
    x = 600,221,292,860.25/500,653.50
  6. Step 6: Final answer
    x = 1,198,875.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.