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Finding the Third Proportional to 335,816 and 506,959

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Solution

The third proportional to 335,816 and 506,959 is: 765,322.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,816 : 506,959 = 506,959 : x
  2. Step 2: Convert to fraction form
    335,816/506,959 = 506,959/x
  3. Step 3: Cross multiply
    335,816x = 506,959 × 506,959
  4. Step 4: Simplify right side
    335,816x = 257,007,427,681
  5. Step 5: Solve for x
    x = 257,007,427,681/335,816
  6. Step 6: Final answer
    x = 765,322.16

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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.