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Finding the Third Proportional to 415,108.50 and 893,904

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Solution

The third proportional to 415,108.50 and 893,904 is: 1,924,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,108.50 : 893,904 = 893,904 : x
  2. Step 2: Convert to fraction form
    415,108.50/893,904 = 893,904/x
  3. Step 3: Cross multiply
    415,108.50x = 893,904 × 893,904
  4. Step 4: Simplify right side
    415,108.50x = 799,064,361,216
  5. Step 5: Solve for x
    x = 799,064,361,216/415,108.50
  6. Step 6: Final answer
    x = 1,924,953.02

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.