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Finding the Third Proportional to 323,769 and 506,787

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Solution

The third proportional to 323,769 and 506,787 is: 793,260.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,769 : 506,787 = 506,787 : x
  2. Step 2: Convert to fraction form
    323,769/506,787 = 506,787/x
  3. Step 3: Cross multiply
    323,769x = 506,787 × 506,787
  4. Step 4: Simplify right side
    323,769x = 256,833,063,369
  5. Step 5: Solve for x
    x = 256,833,063,369/323,769
  6. Step 6: Final answer
    x = 793,260.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.