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Finding the Third Proportional to 419,260.50 and 592,683.75

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Solution

The third proportional to 419,260.50 and 592,683.75 is: 837,841.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,260.50 : 592,683.75 = 592,683.75 : x
  2. Step 2: Convert to fraction form
    419,260.50/592,683.75 = 592,683.75/x
  3. Step 3: Cross multiply
    419,260.50x = 592,683.75 × 592,683.75
  4. Step 4: Simplify right side
    419,260.50x = 351,274,027,514.06
  5. Step 5: Solve for x
    x = 351,274,027,514.06/419,260.50
  6. Step 6: Final answer
    x = 837,841.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.