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Finding the Third Proportional to 292,491 and 632,954.25

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Solution

The third proportional to 292,491 and 632,954.25 is: 1,369,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,491 : 632,954.25 = 632,954.25 : x
  2. Step 2: Convert to fraction form
    292,491/632,954.25 = 632,954.25/x
  3. Step 3: Cross multiply
    292,491x = 632,954.25 × 632,954.25
  4. Step 4: Simplify right side
    292,491x = 400,631,082,593.06
  5. Step 5: Solve for x
    x = 400,631,082,593.06/292,491
  6. Step 6: Final answer
    x = 1,369,721.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.