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Finding the Third Proportional to 233,292 and 490,084.50

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Solution

The third proportional to 233,292 and 490,084.50 is: 1,029,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,292 : 490,084.50 = 490,084.50 : x
  2. Step 2: Convert to fraction form
    233,292/490,084.50 = 490,084.50/x
  3. Step 3: Cross multiply
    233,292x = 490,084.50 × 490,084.50
  4. Step 4: Simplify right side
    233,292x = 240,182,817,140.25
  5. Step 5: Solve for x
    x = 240,182,817,140.25/233,292
  6. Step 6: Final answer
    x = 1,029,537.31

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.