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Finding the Third Proportional to 455,381.25 and 679,376.63

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Solution

The third proportional to 455,381.25 and 679,376.63 is: 1,013,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,381.25 : 679,376.63 = 679,376.63 : x
  2. Step 2: Convert to fraction form
    455,381.25/679,376.63 = 679,376.63/x
  3. Step 3: Cross multiply
    455,381.25x = 679,376.63 × 679,376.63
  4. Step 4: Simplify right side
    455,381.25x = 461,552,598,596.39
  5. Step 5: Solve for x
    x = 461,552,598,596.39/455,381.25
  6. Step 6: Final answer
    x = 1,013,552.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.