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Finding the Third Proportional to 415,796.50 and 893,707

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Solution

The third proportional to 415,796.50 and 893,707 is: 1,920,920.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,796.50 : 893,707 = 893,707 : x
  2. Step 2: Convert to fraction form
    415,796.50/893,707 = 893,707/x
  3. Step 3: Cross multiply
    415,796.50x = 893,707 × 893,707
  4. Step 4: Simplify right side
    415,796.50x = 798,712,201,849
  5. Step 5: Solve for x
    x = 798,712,201,849/415,796.50
  6. Step 6: Final answer
    x = 1,920,920.94

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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.