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Finding the Third Proportional to 504,924 and 737,857.50

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Solution

The third proportional to 504,924 and 737,857.50 is: 1,078,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,924 : 737,857.50 = 737,857.50 : x
  2. Step 2: Convert to fraction form
    504,924/737,857.50 = 737,857.50/x
  3. Step 3: Cross multiply
    504,924x = 737,857.50 × 737,857.50
  4. Step 4: Simplify right side
    504,924x = 544,433,690,306.25
  5. Step 5: Solve for x
    x = 544,433,690,306.25/504,924
  6. Step 6: Final answer
    x = 1,078,248.79

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