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Finding the Third Proportional to 366,340 and 781,066

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Solution

The third proportional to 366,340 and 781,066 is: 1,665,294.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,340 : 781,066 = 781,066 : x
  2. Step 2: Convert to fraction form
    366,340/781,066 = 781,066/x
  3. Step 3: Cross multiply
    366,340x = 781,066 × 781,066
  4. Step 4: Simplify right side
    366,340x = 610,064,096,356
  5. Step 5: Solve for x
    x = 610,064,096,356/366,340
  6. Step 6: Final answer
    x = 1,665,294.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.