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Finding the Third Proportional to 233,374 and 476,602

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Solution

The third proportional to 233,374 and 476,602 is: 973,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,374 : 476,602 = 476,602 : x
  2. Step 2: Convert to fraction form
    233,374/476,602 = 476,602/x
  3. Step 3: Cross multiply
    233,374x = 476,602 × 476,602
  4. Step 4: Simplify right side
    233,374x = 227,149,466,404
  5. Step 5: Solve for x
    x = 227,149,466,404/233,374
  6. Step 6: Final answer
    x = 973,328.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.