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Finding the Third Proportional to 480,150 and 686,178

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Solution

The third proportional to 480,150 and 686,178 is: 980,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,150 : 686,178 = 686,178 : x
  2. Step 2: Convert to fraction form
    480,150/686,178 = 686,178/x
  3. Step 3: Cross multiply
    480,150x = 686,178 × 686,178
  4. Step 4: Simplify right side
    480,150x = 470,840,247,684
  5. Step 5: Solve for x
    x = 470,840,247,684/480,150
  6. Step 6: Final answer
    x = 980,610.74

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.