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Finding the Third Proportional to 415,536.75 and 896,683.50

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Solution

The third proportional to 415,536.75 and 896,683.50 is: 1,934,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,536.75 : 896,683.50 = 896,683.50 : x
  2. Step 2: Convert to fraction form
    415,536.75/896,683.50 = 896,683.50/x
  3. Step 3: Cross multiply
    415,536.75x = 896,683.50 × 896,683.50
  4. Step 4: Simplify right side
    415,536.75x = 804,041,299,172.25
  5. Step 5: Solve for x
    x = 804,041,299,172.25/415,536.75
  6. Step 6: Final answer
    x = 1,934,946.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.