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Finding the Third Proportional to 213,995 and 506,074

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Solution

The third proportional to 213,995 and 506,074 is: 1,196,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,995 : 506,074 = 506,074 : x
  2. Step 2: Convert to fraction form
    213,995/506,074 = 506,074/x
  3. Step 3: Cross multiply
    213,995x = 506,074 × 506,074
  4. Step 4: Simplify right side
    213,995x = 256,110,893,476
  5. Step 5: Solve for x
    x = 256,110,893,476/213,995
  6. Step 6: Final answer
    x = 1,196,807.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.