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Finding the Third Proportional to 632,903.63 and 980,268.75

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Solution

The third proportional to 632,903.63 and 980,268.75 is: 1,518,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,903.63 : 980,268.75 = 980,268.75 : x
  2. Step 2: Convert to fraction form
    632,903.63/980,268.75 = 980,268.75/x
  3. Step 3: Cross multiply
    632,903.63x = 980,268.75 × 980,268.75
  4. Step 4: Simplify right side
    632,903.63x = 960,926,822,226.56
  5. Step 5: Solve for x
    x = 960,926,822,226.56/632,903.63
  6. Step 6: Final answer
    x = 1,518,283.01

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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.