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Finding the Third Proportional to 573.47 and 1,405.69

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Solution

The third proportional to 573.47 and 1,405.69 is: 3,445.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.47 : 1,405.69 = 1,405.69 : x
  2. Step 2: Convert to fraction form
    573.47/1,405.69 = 1,405.69/x
  3. Step 3: Cross multiply
    573.47x = 1,405.69 × 1,405.69
  4. Step 4: Simplify right side
    573.47x = 1,975,957.35
  5. Step 5: Solve for x
    x = 1,975,957.35/573.47
  6. Step 6: Final answer
    x = 3,445.62

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.