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Finding the Third Proportional to 437,005.13 and 653,578.88

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Solution

The third proportional to 437,005.13 and 653,578.88 is: 977,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,005.13 : 653,578.88 = 653,578.88 : x
  2. Step 2: Convert to fraction form
    437,005.13/653,578.88 = 653,578.88/x
  3. Step 3: Cross multiply
    437,005.13x = 653,578.88 × 653,578.88
  4. Step 4: Simplify right side
    437,005.13x = 427,165,345,846.27
  5. Step 5: Solve for x
    x = 427,165,345,846.27/437,005.13
  6. Step 6: Final answer
    x = 977,483.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.