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Finding the Third Proportional to 285,426 and 444,482

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Solution

The third proportional to 285,426 and 444,482 is: 692,173.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,426 : 444,482 = 444,482 : x
  2. Step 2: Convert to fraction form
    285,426/444,482 = 444,482/x
  3. Step 3: Cross multiply
    285,426x = 444,482 × 444,482
  4. Step 4: Simplify right side
    285,426x = 197,564,248,324
  5. Step 5: Solve for x
    x = 197,564,248,324/285,426
  6. Step 6: Final answer
    x = 692,173.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.