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Finding the Third Proportional to 335,796 and 506,928

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Solution

The third proportional to 335,796 and 506,928 is: 765,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,796 : 506,928 = 506,928 : x
  2. Step 2: Convert to fraction form
    335,796/506,928 = 506,928/x
  3. Step 3: Cross multiply
    335,796x = 506,928 × 506,928
  4. Step 4: Simplify right side
    335,796x = 256,975,997,184
  5. Step 5: Solve for x
    x = 256,975,997,184/335,796
  6. Step 6: Final answer
    x = 765,274.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.