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Finding the Third Proportional to 248,628 and 381,528

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Solution

The third proportional to 248,628 and 381,528 is: 585,467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,628 : 381,528 = 381,528 : x
  2. Step 2: Convert to fraction form
    248,628/381,528 = 381,528/x
  3. Step 3: Cross multiply
    248,628x = 381,528 × 381,528
  4. Step 4: Simplify right side
    248,628x = 145,563,614,784
  5. Step 5: Solve for x
    x = 145,563,614,784/248,628
  6. Step 6: Final answer
    x = 585,467.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.