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Finding the Third Proportional to 357,833 and 786,190

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Solution

The third proportional to 357,833 and 786,190 is: 1,727,327.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,833 : 786,190 = 786,190 : x
  2. Step 2: Convert to fraction form
    357,833/786,190 = 786,190/x
  3. Step 3: Cross multiply
    357,833x = 786,190 × 786,190
  4. Step 4: Simplify right side
    357,833x = 618,094,716,100
  5. Step 5: Solve for x
    x = 618,094,716,100/357,833
  6. Step 6: Final answer
    x = 1,727,327.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.