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Finding the Third Proportional to 465,213 and 737,857.50

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Solution

The third proportional to 465,213 and 737,857.50 is: 1,170,289.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,213 : 737,857.50 = 737,857.50 : x
  2. Step 2: Convert to fraction form
    465,213/737,857.50 = 737,857.50/x
  3. Step 3: Cross multiply
    465,213x = 737,857.50 × 737,857.50
  4. Step 4: Simplify right side
    465,213x = 544,433,690,306.25
  5. Step 5: Solve for x
    x = 544,433,690,306.25/465,213
  6. Step 6: Final answer
    x = 1,170,289.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.