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Finding the Third Proportional to 415,384 and 900,752

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Solution

The third proportional to 415,384 and 900,752 is: 1,953,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,384 : 900,752 = 900,752 : x
  2. Step 2: Convert to fraction form
    415,384/900,752 = 900,752/x
  3. Step 3: Cross multiply
    415,384x = 900,752 × 900,752
  4. Step 4: Simplify right side
    415,384x = 811,354,165,504
  5. Step 5: Solve for x
    x = 811,354,165,504/415,384
  6. Step 6: Final answer
    x = 1,953,262.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.