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Finding the Third Proportional to 285,594 and 620,348

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Solution

The third proportional to 285,594 and 620,348 is: 1,347,478.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,594 : 620,348 = 620,348 : x
  2. Step 2: Convert to fraction form
    285,594/620,348 = 620,348/x
  3. Step 3: Cross multiply
    285,594x = 620,348 × 620,348
  4. Step 4: Simplify right side
    285,594x = 384,831,641,104
  5. Step 5: Solve for x
    x = 384,831,641,104/285,594
  6. Step 6: Final answer
    x = 1,347,478.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.