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Finding the Third Proportional to 430,439.91 and 643,410.84

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Solution

The third proportional to 430,439.91 and 643,410.84 is: 961,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,439.91 : 643,410.84 = 643,410.84 : x
  2. Step 2: Convert to fraction form
    430,439.91/643,410.84 = 643,410.84/x
  3. Step 3: Cross multiply
    430,439.91x = 643,410.84 × 643,410.84
  4. Step 4: Simplify right side
    430,439.91x = 413,977,513,855.09
  5. Step 5: Solve for x
    x = 413,977,513,855.09/430,439.91
  6. Step 6: Final answer
    x = 961,754.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.