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Finding the Third Proportional to 335,784 and 506,910

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Solution

The third proportional to 335,784 and 506,910 is: 765,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,784 : 506,910 = 506,910 : x
  2. Step 2: Convert to fraction form
    335,784/506,910 = 506,910/x
  3. Step 3: Cross multiply
    335,784x = 506,910 × 506,910
  4. Step 4: Simplify right side
    335,784x = 256,957,748,100
  5. Step 5: Solve for x
    x = 256,957,748,100/335,784
  6. Step 6: Final answer
    x = 765,247.15

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