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Finding the Third Proportional to 292,122 and 598,060

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Solution

The third proportional to 292,122 and 598,060 is: 1,224,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,122 : 598,060 = 598,060 : x
  2. Step 2: Convert to fraction form
    292,122/598,060 = 598,060/x
  3. Step 3: Cross multiply
    292,122x = 598,060 × 598,060
  4. Step 4: Simplify right side
    292,122x = 357,675,763,600
  5. Step 5: Solve for x
    x = 357,675,763,600/292,122
  6. Step 6: Final answer
    x = 1,224,405.43

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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.