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Finding the Third Proportional to 490,016 and 757,076

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Solution

The third proportional to 490,016 and 757,076 is: 1,169,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,016 : 757,076 = 757,076 : x
  2. Step 2: Convert to fraction form
    490,016/757,076 = 757,076/x
  3. Step 3: Cross multiply
    490,016x = 757,076 × 757,076
  4. Step 4: Simplify right side
    490,016x = 573,164,069,776
  5. Step 5: Solve for x
    x = 573,164,069,776/490,016
  6. Step 6: Final answer
    x = 1,169,684.40

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