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Finding the Third Proportional to 264,065.50 and 397,365

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Solution

The third proportional to 264,065.50 and 397,365 is: 597,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,065.50 : 397,365 = 397,365 : x
  2. Step 2: Convert to fraction form
    264,065.50/397,365 = 397,365/x
  3. Step 3: Cross multiply
    264,065.50x = 397,365 × 397,365
  4. Step 4: Simplify right side
    264,065.50x = 157,898,943,225
  5. Step 5: Solve for x
    x = 157,898,943,225/264,065.50
  6. Step 6: Final answer
    x = 597,953.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.