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Finding the Third Proportional to 250,565.50 and 546,355

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Solution

The third proportional to 250,565.50 and 546,355 is: 1,191,320.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,565.50 : 546,355 = 546,355 : x
  2. Step 2: Convert to fraction form
    250,565.50/546,355 = 546,355/x
  3. Step 3: Cross multiply
    250,565.50x = 546,355 × 546,355
  4. Step 4: Simplify right side
    250,565.50x = 298,503,786,025
  5. Step 5: Solve for x
    x = 298,503,786,025/250,565.50
  6. Step 6: Final answer
    x = 1,191,320.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.