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Finding the Third Proportional to 290,294 and 439,816

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Solution

The third proportional to 290,294 and 439,816 is: 666,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,294 : 439,816 = 439,816 : x
  2. Step 2: Convert to fraction form
    290,294/439,816 = 439,816/x
  3. Step 3: Cross multiply
    290,294x = 439,816 × 439,816
  4. Step 4: Simplify right side
    290,294x = 193,438,113,856
  5. Step 5: Solve for x
    x = 193,438,113,856/290,294
  6. Step 6: Final answer
    x = 666,352.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.