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Finding the Third Proportional to 252,166 and 390,438

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Solution

The third proportional to 252,166 and 390,438 is: 604,529.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,166 : 390,438 = 390,438 : x
  2. Step 2: Convert to fraction form
    252,166/390,438 = 390,438/x
  3. Step 3: Cross multiply
    252,166x = 390,438 × 390,438
  4. Step 4: Simplify right side
    252,166x = 152,441,831,844
  5. Step 5: Solve for x
    x = 152,441,831,844/252,166
  6. Step 6: Final answer
    x = 604,529.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.