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Finding the Third Proportional to 290,280 and 426,884.50

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Solution

The third proportional to 290,280 and 426,884.50 is: 627,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,280 : 426,884.50 = 426,884.50 : x
  2. Step 2: Convert to fraction form
    290,280/426,884.50 = 426,884.50/x
  3. Step 3: Cross multiply
    290,280x = 426,884.50 × 426,884.50
  4. Step 4: Simplify right side
    290,280x = 182,230,376,340.25
  5. Step 5: Solve for x
    x = 182,230,376,340.25/290,280
  6. Step 6: Final answer
    x = 627,774.48

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Why These Related Problems?

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