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Finding the Third Proportional to 562,990.50 and 829,599.75

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Solution

The third proportional to 562,990.50 and 829,599.75 is: 1,222,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,990.50 : 829,599.75 = 829,599.75 : x
  2. Step 2: Convert to fraction form
    562,990.50/829,599.75 = 829,599.75/x
  3. Step 3: Cross multiply
    562,990.50x = 829,599.75 × 829,599.75
  4. Step 4: Simplify right side
    562,990.50x = 688,235,745,200.06
  5. Step 5: Solve for x
    x = 688,235,745,200.06/562,990.50
  6. Step 6: Final answer
    x = 1,222,464.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.