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Finding the Third Proportional to 415,750 and 898,029

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Solution

The third proportional to 415,750 and 898,029 is: 1,939,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,750 : 898,029 = 898,029 : x
  2. Step 2: Convert to fraction form
    415,750/898,029 = 898,029/x
  3. Step 3: Cross multiply
    415,750x = 898,029 × 898,029
  4. Step 4: Simplify right side
    415,750x = 806,456,084,841
  5. Step 5: Solve for x
    x = 806,456,084,841/415,750
  6. Step 6: Final answer
    x = 1,939,762.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.