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Finding the Third Proportional to 285,477 and 623,580

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Solution

The third proportional to 285,477 and 623,580 is: 1,362,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,477 : 623,580 = 623,580 : x
  2. Step 2: Convert to fraction form
    285,477/623,580 = 623,580/x
  3. Step 3: Cross multiply
    285,477x = 623,580 × 623,580
  4. Step 4: Simplify right side
    285,477x = 388,852,016,400
  5. Step 5: Solve for x
    x = 388,852,016,400/285,477
  6. Step 6: Final answer
    x = 1,362,113.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.