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Finding the Third Proportional to 292,104 and 598,032

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Solution

The third proportional to 292,104 and 598,032 is: 1,224,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,104 : 598,032 = 598,032 : x
  2. Step 2: Convert to fraction form
    292,104/598,032 = 598,032/x
  3. Step 3: Cross multiply
    292,104x = 598,032 × 598,032
  4. Step 4: Simplify right side
    292,104x = 357,642,273,024
  5. Step 5: Solve for x
    x = 357,642,273,024/292,104
  6. Step 6: Final answer
    x = 1,224,366.23

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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.