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Finding the Third Proportional to 569,388 and 836,946

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Solution

The third proportional to 569,388 and 836,946 is: 1,230,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,388 : 836,946 = 836,946 : x
  2. Step 2: Convert to fraction form
    569,388/836,946 = 836,946/x
  3. Step 3: Cross multiply
    569,388x = 836,946 × 836,946
  4. Step 4: Simplify right side
    569,388x = 700,478,606,916
  5. Step 5: Solve for x
    x = 700,478,606,916/569,388
  6. Step 6: Final answer
    x = 1,230,230.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.