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Finding the Third Proportional to 254,658 and 393,066

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Solution

The third proportional to 254,658 and 393,066 is: 606,699.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,658 : 393,066 = 393,066 : x
  2. Step 2: Convert to fraction form
    254,658/393,066 = 393,066/x
  3. Step 3: Cross multiply
    254,658x = 393,066 × 393,066
  4. Step 4: Simplify right side
    254,658x = 154,500,880,356
  5. Step 5: Solve for x
    x = 154,500,880,356/254,658
  6. Step 6: Final answer
    x = 606,699.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.