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Finding the Third Proportional to 415,548.50 and 896,707

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Solution

The third proportional to 415,548.50 and 896,707 is: 1,934,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,548.50 : 896,707 = 896,707 : x
  2. Step 2: Convert to fraction form
    415,548.50/896,707 = 896,707/x
  3. Step 3: Cross multiply
    415,548.50x = 896,707 × 896,707
  4. Step 4: Simplify right side
    415,548.50x = 804,083,443,849
  5. Step 5: Solve for x
    x = 804,083,443,849/415,548.50
  6. Step 6: Final answer
    x = 1,934,993.01

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