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Finding the Third Proportional to 205,416 and 444,528

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Solution

The third proportional to 205,416 and 444,528 is: 961,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,416 : 444,528 = 444,528 : x
  2. Step 2: Convert to fraction form
    205,416/444,528 = 444,528/x
  3. Step 3: Cross multiply
    205,416x = 444,528 × 444,528
  4. Step 4: Simplify right side
    205,416x = 197,605,142,784
  5. Step 5: Solve for x
    x = 197,605,142,784/205,416
  6. Step 6: Final answer
    x = 961,975.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.