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Finding the Third Proportional to 405,718.88 and 876,484.13

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Solution

The third proportional to 405,718.88 and 876,484.13 is: 1,893,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,718.88 : 876,484.13 = 876,484.13 : x
  2. Step 2: Convert to fraction form
    405,718.88/876,484.13 = 876,484.13/x
  3. Step 3: Cross multiply
    405,718.88x = 876,484.13 × 876,484.13
  4. Step 4: Simplify right side
    405,718.88x = 768,224,421,377.02
  5. Step 5: Solve for x
    x = 768,224,421,377.02/405,718.88
  6. Step 6: Final answer
    x = 1,893,489.48

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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.