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Finding the Third Proportional to 601,798 and 884,269

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Solution

The third proportional to 601,798 and 884,269 is: 1,299,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,798 : 884,269 = 884,269 : x
  2. Step 2: Convert to fraction form
    601,798/884,269 = 884,269/x
  3. Step 3: Cross multiply
    601,798x = 884,269 × 884,269
  4. Step 4: Simplify right side
    601,798x = 781,931,664,361
  5. Step 5: Solve for x
    x = 781,931,664,361/601,798
  6. Step 6: Final answer
    x = 1,299,325.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.