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Finding the Third Proportional to 399,969 and 562,531.50

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Solution

The third proportional to 399,969 and 562,531.50 is: 791,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,969 : 562,531.50 = 562,531.50 : x
  2. Step 2: Convert to fraction form
    399,969/562,531.50 = 562,531.50/x
  3. Step 3: Cross multiply
    399,969x = 562,531.50 × 562,531.50
  4. Step 4: Simplify right side
    399,969x = 316,441,688,492.25
  5. Step 5: Solve for x
    x = 316,441,688,492.25/399,969
  6. Step 6: Final answer
    x = 791,165.54

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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.