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Finding the Third Proportional to 405,719.63 and 876,472.13

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Solution

The third proportional to 405,719.63 and 876,472.13 is: 1,893,434.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,719.63 : 876,472.13 = 876,472.13 : x
  2. Step 2: Convert to fraction form
    405,719.63/876,472.13 = 876,472.13/x
  3. Step 3: Cross multiply
    405,719.63x = 876,472.13 × 876,472.13
  4. Step 4: Simplify right side
    405,719.63x = 768,203,385,902.02
  5. Step 5: Solve for x
    x = 768,203,385,902.02/405,719.63
  6. Step 6: Final answer
    x = 1,893,434.13

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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.