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Finding the Third Proportional to 205,368 and 449,386

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Solution

The third proportional to 205,368 and 449,386 is: 983,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368 : 449,386 = 449,386 : x
  2. Step 2: Convert to fraction form
    205,368/449,386 = 449,386/x
  3. Step 3: Cross multiply
    205,368x = 449,386 × 449,386
  4. Step 4: Simplify right side
    205,368x = 201,947,776,996
  5. Step 5: Solve for x
    x = 201,947,776,996/205,368
  6. Step 6: Final answer
    x = 983,345.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.