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Finding the Third Proportional to 366,463.50 and 560,595

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Solution

The third proportional to 366,463.50 and 560,595 is: 857,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,463.50 : 560,595 = 560,595 : x
  2. Step 2: Convert to fraction form
    366,463.50/560,595 = 560,595/x
  3. Step 3: Cross multiply
    366,463.50x = 560,595 × 560,595
  4. Step 4: Simplify right side
    366,463.50x = 314,266,754,025
  5. Step 5: Solve for x
    x = 314,266,754,025/366,463.50
  6. Step 6: Final answer
    x = 857,566.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.