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Finding the Third Proportional to 283,254 and 616,460

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Solution

The third proportional to 283,254 and 616,460 is: 1,341,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,254 : 616,460 = 616,460 : x
  2. Step 2: Convert to fraction form
    283,254/616,460 = 616,460/x
  3. Step 3: Cross multiply
    283,254x = 616,460 × 616,460
  4. Step 4: Simplify right side
    283,254x = 380,022,931,600
  5. Step 5: Solve for x
    x = 380,022,931,600/283,254
  6. Step 6: Final answer
    x = 1,341,633.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.