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Finding the Third Proportional to 285,840 and 611,059.50

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Solution

The third proportional to 285,840 and 611,059.50 is: 1,306,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,840 : 611,059.50 = 611,059.50 : x
  2. Step 2: Convert to fraction form
    285,840/611,059.50 = 611,059.50/x
  3. Step 3: Cross multiply
    285,840x = 611,059.50 × 611,059.50
  4. Step 4: Simplify right side
    285,840x = 373,393,712,540.25
  5. Step 5: Solve for x
    x = 373,393,712,540.25/285,840
  6. Step 6: Final answer
    x = 1,306,303.22

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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.