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Finding the Third Proportional to 285,360.50 and 442,468.50

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Solution

The third proportional to 285,360.50 and 442,468.50 is: 686,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,360.50 : 442,468.50 = 442,468.50 : x
  2. Step 2: Convert to fraction form
    285,360.50/442,468.50 = 442,468.50/x
  3. Step 3: Cross multiply
    285,360.50x = 442,468.50 × 442,468.50
  4. Step 4: Simplify right side
    285,360.50x = 195,778,373,492.25
  5. Step 5: Solve for x
    x = 195,778,373,492.25/285,360.50
  6. Step 6: Final answer
    x = 686,073.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.