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Finding the Third Proportional to 292,109 and 598,042

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Solution

The third proportional to 292,109 and 598,042 is: 1,224,386.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,109 : 598,042 = 598,042 : x
  2. Step 2: Convert to fraction form
    292,109/598,042 = 598,042/x
  3. Step 3: Cross multiply
    292,109x = 598,042 × 598,042
  4. Step 4: Simplify right side
    292,109x = 357,654,233,764
  5. Step 5: Solve for x
    x = 357,654,233,764/292,109
  6. Step 6: Final answer
    x = 1,224,386.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.