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Finding the Third Proportional to 403,931 and 875,178

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Solution

The third proportional to 403,931 and 875,178 is: 1,896,206.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,931 : 875,178 = 875,178 : x
  2. Step 2: Convert to fraction form
    403,931/875,178 = 875,178/x
  3. Step 3: Cross multiply
    403,931x = 875,178 × 875,178
  4. Step 4: Simplify right side
    403,931x = 765,936,531,684
  5. Step 5: Solve for x
    x = 765,936,531,684/403,931
  6. Step 6: Final answer
    x = 1,896,206.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.