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Finding the Third Proportional to 290,364 and 426,976.50

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Solution

The third proportional to 290,364 and 426,976.50 is: 627,863.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,364 : 426,976.50 = 426,976.50 : x
  2. Step 2: Convert to fraction form
    290,364/426,976.50 = 426,976.50/x
  3. Step 3: Cross multiply
    290,364x = 426,976.50 × 426,976.50
  4. Step 4: Simplify right side
    290,364x = 182,308,931,552.25
  5. Step 5: Solve for x
    x = 182,308,931,552.25/290,364
  6. Step 6: Final answer
    x = 627,863.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.