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Finding the Third Proportional to 418,087.50 and 895,204.50

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Solution

The third proportional to 418,087.50 and 895,204.50 is: 1,916,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,087.50 : 895,204.50 = 895,204.50 : x
  2. Step 2: Convert to fraction form
    418,087.50/895,204.50 = 895,204.50/x
  3. Step 3: Cross multiply
    418,087.50x = 895,204.50 × 895,204.50
  4. Step 4: Simplify right side
    418,087.50x = 801,391,096,820.25
  5. Step 5: Solve for x
    x = 801,391,096,820.25/418,087.50
  6. Step 6: Final answer
    x = 1,916,802.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.