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Finding the Third Proportional to 233,038 and 510,539.50

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Solution

The third proportional to 233,038 and 510,539.50 is: 1,118,489.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,038 : 510,539.50 = 510,539.50 : x
  2. Step 2: Convert to fraction form
    233,038/510,539.50 = 510,539.50/x
  3. Step 3: Cross multiply
    233,038x = 510,539.50 × 510,539.50
  4. Step 4: Simplify right side
    233,038x = 260,650,581,060.25
  5. Step 5: Solve for x
    x = 260,650,581,060.25/233,038
  6. Step 6: Final answer
    x = 1,118,489.61

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.