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Finding the Third Proportional to 335,805 and 506,943

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Solution

The third proportional to 335,805 and 506,943 is: 765,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,805 : 506,943 = 506,943 : x
  2. Step 2: Convert to fraction form
    335,805/506,943 = 506,943/x
  3. Step 3: Cross multiply
    335,805x = 506,943 × 506,943
  4. Step 4: Simplify right side
    335,805x = 256,991,205,249
  5. Step 5: Solve for x
    x = 256,991,205,249/335,805
  6. Step 6: Final answer
    x = 765,298.92

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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.