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Finding the Third Proportional to 315,585 and 443,893.50

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Solution

The third proportional to 315,585 and 443,893.50 is: 624,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,585 : 443,893.50 = 443,893.50 : x
  2. Step 2: Convert to fraction form
    315,585/443,893.50 = 443,893.50/x
  3. Step 3: Cross multiply
    315,585x = 443,893.50 × 443,893.50
  4. Step 4: Simplify right side
    315,585x = 197,041,439,342.25
  5. Step 5: Solve for x
    x = 197,041,439,342.25/315,585
  6. Step 6: Final answer
    x = 624,368.84

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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.