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Finding the Third Proportional to 354,094 and 767,254

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Solution

The third proportional to 354,094 and 767,254 is: 1,662,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,094 : 767,254 = 767,254 : x
  2. Step 2: Convert to fraction form
    354,094/767,254 = 767,254/x
  3. Step 3: Cross multiply
    354,094x = 767,254 × 767,254
  4. Step 4: Simplify right side
    354,094x = 588,678,700,516
  5. Step 5: Solve for x
    x = 588,678,700,516/354,094
  6. Step 6: Final answer
    x = 1,662,492.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.