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Finding the Third Proportional to 254,461.50 and 529,862.63

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Solution

The third proportional to 254,461.50 and 529,862.63 is: 1,103,327.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,461.50 : 529,862.63 = 529,862.63 : x
  2. Step 2: Convert to fraction form
    254,461.50/529,862.63 = 529,862.63/x
  3. Step 3: Cross multiply
    254,461.50x = 529,862.63 × 529,862.63
  4. Step 4: Simplify right side
    254,461.50x = 280,754,401,371.89
  5. Step 5: Solve for x
    x = 280,754,401,371.89/254,461.50
  6. Step 6: Final answer
    x = 1,103,327.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.