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Finding the Third Proportional to 367,094 and 812,798

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Solution

The third proportional to 367,094 and 812,798 is: 1,799,649.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,094 : 812,798 = 812,798 : x
  2. Step 2: Convert to fraction form
    367,094/812,798 = 812,798/x
  3. Step 3: Cross multiply
    367,094x = 812,798 × 812,798
  4. Step 4: Simplify right side
    367,094x = 660,640,588,804
  5. Step 5: Solve for x
    x = 660,640,588,804/367,094
  6. Step 6: Final answer
    x = 1,799,649.65

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.