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Finding the Third Proportional to 252,176 and 390,448

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Solution

The third proportional to 252,176 and 390,448 is: 604,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,176 : 390,448 = 390,448 : x
  2. Step 2: Convert to fraction form
    252,176/390,448 = 390,448/x
  3. Step 3: Cross multiply
    252,176x = 390,448 × 390,448
  4. Step 4: Simplify right side
    252,176x = 152,449,640,704
  5. Step 5: Solve for x
    x = 152,449,640,704/252,176
  6. Step 6: Final answer
    x = 604,536.68

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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.