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Finding the Third Proportional to 335,798 and 506,931

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Solution

The third proportional to 335,798 and 506,931 is: 765,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,798 : 506,931 = 506,931 : x
  2. Step 2: Convert to fraction form
    335,798/506,931 = 506,931/x
  3. Step 3: Cross multiply
    335,798x = 506,931 × 506,931
  4. Step 4: Simplify right side
    335,798x = 256,979,038,761
  5. Step 5: Solve for x
    x = 256,979,038,761/335,798
  6. Step 6: Final answer
    x = 765,278.65

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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.