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Finding the Third Proportional to 333,188 and 487,285.50

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Solution

The third proportional to 333,188 and 487,285.50 is: 712,652.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,188 : 487,285.50 = 487,285.50 : x
  2. Step 2: Convert to fraction form
    333,188/487,285.50 = 487,285.50/x
  3. Step 3: Cross multiply
    333,188x = 487,285.50 × 487,285.50
  4. Step 4: Simplify right side
    333,188x = 237,447,158,510.25
  5. Step 5: Solve for x
    x = 237,447,158,510.25/333,188
  6. Step 6: Final answer
    x = 712,652.19

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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.