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Finding the Third Proportional to 292,814 and 611,044

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Solution

The third proportional to 292,814 and 611,044 is: 1,275,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,814 : 611,044 = 611,044 : x
  2. Step 2: Convert to fraction form
    292,814/611,044 = 611,044/x
  3. Step 3: Cross multiply
    292,814x = 611,044 × 611,044
  4. Step 4: Simplify right side
    292,814x = 373,374,769,936
  5. Step 5: Solve for x
    x = 373,374,769,936/292,814
  6. Step 6: Final answer
    x = 1,275,126.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.