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Finding the Third Proportional to 441,805.50 and 916,395

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Solution

The third proportional to 441,805.50 and 916,395 is: 1,900,790.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,805.50 : 916,395 = 916,395 : x
  2. Step 2: Convert to fraction form
    441,805.50/916,395 = 916,395/x
  3. Step 3: Cross multiply
    441,805.50x = 916,395 × 916,395
  4. Step 4: Simplify right side
    441,805.50x = 839,779,796,025
  5. Step 5: Solve for x
    x = 839,779,796,025/441,805.50
  6. Step 6: Final answer
    x = 1,900,790.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.