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Finding the Third Proportional to 445,431.38 and 971,262

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Solution

The third proportional to 445,431.38 and 971,262 is: 2,117,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,431.38 : 971,262 = 971,262 : x
  2. Step 2: Convert to fraction form
    445,431.38/971,262 = 971,262/x
  3. Step 3: Cross multiply
    445,431.38x = 971,262 × 971,262
  4. Step 4: Simplify right side
    445,431.38x = 943,349,872,644
  5. Step 5: Solve for x
    x = 943,349,872,644/445,431.38
  6. Step 6: Final answer
    x = 2,117,834.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.