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Finding the Third Proportional to 562,885.50 and 829,444.50

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Solution

The third proportional to 562,885.50 and 829,444.50 is: 1,222,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,885.50 : 829,444.50 = 829,444.50 : x
  2. Step 2: Convert to fraction form
    562,885.50/829,444.50 = 829,444.50/x
  3. Step 3: Cross multiply
    562,885.50x = 829,444.50 × 829,444.50
  4. Step 4: Simplify right side
    562,885.50x = 687,978,178,580.25
  5. Step 5: Solve for x
    x = 687,978,178,580.25/562,885.50
  6. Step 6: Final answer
    x = 1,222,234.68

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