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Finding the Third Proportional to 413,535.50 and 895,771.50

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Solution

The third proportional to 413,535.50 and 895,771.50 is: 1,940,357.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,535.50 : 895,771.50 = 895,771.50 : x
  2. Step 2: Convert to fraction form
    413,535.50/895,771.50 = 895,771.50/x
  3. Step 3: Cross multiply
    413,535.50x = 895,771.50 × 895,771.50
  4. Step 4: Simplify right side
    413,535.50x = 802,406,580,212.25
  5. Step 5: Solve for x
    x = 802,406,580,212.25/413,535.50
  6. Step 6: Final answer
    x = 1,940,357.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.