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Finding the Third Proportional to 433,927.13 and 650,465.44

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Solution

The third proportional to 433,927.13 and 650,465.44 is: 975,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,927.13 : 650,465.44 = 650,465.44 : x
  2. Step 2: Convert to fraction form
    433,927.13/650,465.44 = 650,465.44/x
  3. Step 3: Cross multiply
    433,927.13x = 650,465.44 × 650,465.44
  4. Step 4: Simplify right side
    433,927.13x = 423,105,285,382.07
  5. Step 5: Solve for x
    x = 423,105,285,382.07/433,927.13
  6. Step 6: Final answer
    x = 975,060.70

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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.