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Finding the Third Proportional to 265,044 and 393,966

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Solution

The third proportional to 265,044 and 393,966 is: 585,597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,044 : 393,966 = 393,966 : x
  2. Step 2: Convert to fraction form
    265,044/393,966 = 393,966/x
  3. Step 3: Cross multiply
    265,044x = 393,966 × 393,966
  4. Step 4: Simplify right side
    265,044x = 155,209,209,156
  5. Step 5: Solve for x
    x = 155,209,209,156/265,044
  6. Step 6: Final answer
    x = 585,597.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.