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Finding the Third Proportional to 523,612.13 and 800,646.19

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Solution

The third proportional to 523,612.13 and 800,646.19 is: 1,224,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,612.13 : 800,646.19 = 800,646.19 : x
  2. Step 2: Convert to fraction form
    523,612.13/800,646.19 = 800,646.19/x
  3. Step 3: Cross multiply
    523,612.13x = 800,646.19 × 800,646.19
  4. Step 4: Simplify right side
    523,612.13x = 641,034,317,558.29
  5. Step 5: Solve for x
    x = 641,034,317,558.29/523,612.13
  6. Step 6: Final answer
    x = 1,224,254.15

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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.