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Finding the Third Proportional to 415,373.06 and 907,625.25

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Solution

The third proportional to 415,373.06 and 907,625.25 is: 1,983,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,373.06 : 907,625.25 = 907,625.25 : x
  2. Step 2: Convert to fraction form
    415,373.06/907,625.25 = 907,625.25/x
  3. Step 3: Cross multiply
    415,373.06x = 907,625.25 × 907,625.25
  4. Step 4: Simplify right side
    415,373.06x = 823,783,594,437.56
  5. Step 5: Solve for x
    x = 823,783,594,437.56/415,373.06
  6. Step 6: Final answer
    x = 1,983,237.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.