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Finding the Third Proportional to 357,957.56 and 771,953.63

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Solution

The third proportional to 357,957.56 and 771,953.63 is: 1,664,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,957.56 : 771,953.63 = 771,953.63 : x
  2. Step 2: Convert to fraction form
    357,957.56/771,953.63 = 771,953.63/x
  3. Step 3: Cross multiply
    357,957.56x = 771,953.63 × 771,953.63
  4. Step 4: Simplify right side
    357,957.56x = 595,912,399,150.64
  5. Step 5: Solve for x
    x = 595,912,399,150.64/357,957.56
  6. Step 6: Final answer
    x = 1,664,757.12

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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.