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Finding the Third Proportional to 284,892.50 and 607,916.50

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Solution

The third proportional to 284,892.50 and 607,916.50 is: 1,297,199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,892.50 : 607,916.50 = 607,916.50 : x
  2. Step 2: Convert to fraction form
    284,892.50/607,916.50 = 607,916.50/x
  3. Step 3: Cross multiply
    284,892.50x = 607,916.50 × 607,916.50
  4. Step 4: Simplify right side
    284,892.50x = 369,562,470,972.25
  5. Step 5: Solve for x
    x = 369,562,470,972.25/284,892.50
  6. Step 6: Final answer
    x = 1,297,199.72

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.