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Finding the Third Proportional to 447,599.25 and 915,878.25

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Solution

The third proportional to 447,599.25 and 915,878.25 is: 1,874,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,599.25 : 915,878.25 = 915,878.25 : x
  2. Step 2: Convert to fraction form
    447,599.25/915,878.25 = 915,878.25/x
  3. Step 3: Cross multiply
    447,599.25x = 915,878.25 × 915,878.25
  4. Step 4: Simplify right side
    447,599.25x = 838,832,968,823.06
  5. Step 5: Solve for x
    x = 838,832,968,823.06/447,599.25
  6. Step 6: Final answer
    x = 1,874,071.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.