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Finding the Third Proportional to 433,444.92 and 692,198.79

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Solution

The third proportional to 433,444.92 and 692,198.79 is: 1,105,421.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,444.92 : 692,198.79 = 692,198.79 : x
  2. Step 2: Convert to fraction form
    433,444.92/692,198.79 = 692,198.79/x
  3. Step 3: Cross multiply
    433,444.92x = 692,198.79 × 692,198.79
  4. Step 4: Simplify right side
    433,444.92x = 479,139,163,579.59
  5. Step 5: Solve for x
    x = 479,139,163,579.59/433,444.92
  6. Step 6: Final answer
    x = 1,105,421.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.