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Finding the Third Proportional to 285,009.50 and 400,860.50

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Solution

The third proportional to 285,009.50 and 400,860.50 is: 563,802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,009.50 : 400,860.50 = 400,860.50 : x
  2. Step 2: Convert to fraction form
    285,009.50/400,860.50 = 400,860.50/x
  3. Step 3: Cross multiply
    285,009.50x = 400,860.50 × 400,860.50
  4. Step 4: Simplify right side
    285,009.50x = 160,689,140,460.25
  5. Step 5: Solve for x
    x = 160,689,140,460.25/285,009.50
  6. Step 6: Final answer
    x = 563,802.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.