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Finding the Third Proportional to 287,096 and 440,688

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Solution

The third proportional to 287,096 and 440,688 is: 676,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,096 : 440,688 = 440,688 : x
  2. Step 2: Convert to fraction form
    287,096/440,688 = 440,688/x
  3. Step 3: Cross multiply
    287,096x = 440,688 × 440,688
  4. Step 4: Simplify right side
    287,096x = 194,205,913,344
  5. Step 5: Solve for x
    x = 194,205,913,344/287,096
  6. Step 6: Final answer
    x = 676,449.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.