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Finding the Third Proportional to 351,076 and 529,706

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Solution

The third proportional to 351,076 and 529,706 is: 799,224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,076 : 529,706 = 529,706 : x
  2. Step 2: Convert to fraction form
    351,076/529,706 = 529,706/x
  3. Step 3: Cross multiply
    351,076x = 529,706 × 529,706
  4. Step 4: Simplify right side
    351,076x = 280,588,446,436
  5. Step 5: Solve for x
    x = 280,588,446,436/351,076
  6. Step 6: Final answer
    x = 799,224.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.