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Finding the Third Proportional to 357,972.75 and 771,957

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Solution

The third proportional to 357,972.75 and 771,957 is: 1,664,701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,972.75 : 771,957 = 771,957 : x
  2. Step 2: Convert to fraction form
    357,972.75/771,957 = 771,957/x
  3. Step 3: Cross multiply
    357,972.75x = 771,957 × 771,957
  4. Step 4: Simplify right side
    357,972.75x = 595,917,609,849
  5. Step 5: Solve for x
    x = 595,917,609,849/357,972.75
  6. Step 6: Final answer
    x = 1,664,701.04

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Why These Related Problems?

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