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Finding the Third Proportional to 285,000 and 609,820.50

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Solution

The third proportional to 285,000 and 609,820.50 is: 1,304,845.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,000 : 609,820.50 = 609,820.50 : x
  2. Step 2: Convert to fraction form
    285,000/609,820.50 = 609,820.50/x
  3. Step 3: Cross multiply
    285,000x = 609,820.50 × 609,820.50
  4. Step 4: Simplify right side
    285,000x = 371,881,042,220.25
  5. Step 5: Solve for x
    x = 371,881,042,220.25/285,000
  6. Step 6: Final answer
    x = 1,304,845.76

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.