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Finding the Third Proportional to 290,292 and 426,897

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Solution

The third proportional to 290,292 and 426,897 is: 627,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,292 : 426,897 = 426,897 : x
  2. Step 2: Convert to fraction form
    290,292/426,897 = 426,897/x
  3. Step 3: Cross multiply
    290,292x = 426,897 × 426,897
  4. Step 4: Simplify right side
    290,292x = 182,241,048,609
  5. Step 5: Solve for x
    x = 182,241,048,609/290,292
  6. Step 6: Final answer
    x = 627,785.29

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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.