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Finding the Third Proportional to 504,921 and 737,853

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Solution

The third proportional to 504,921 and 737,853 is: 1,078,242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,921 : 737,853 = 737,853 : x
  2. Step 2: Convert to fraction form
    504,921/737,853 = 737,853/x
  3. Step 3: Cross multiply
    504,921x = 737,853 × 737,853
  4. Step 4: Simplify right side
    504,921x = 544,427,049,609
  5. Step 5: Solve for x
    x = 544,427,049,609/504,921
  6. Step 6: Final answer
    x = 1,078,242.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.