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Finding the Third Proportional to 287,548 and 620,024

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Solution

The third proportional to 287,548 and 620,024 is: 1,336,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,548 : 620,024 = 620,024 : x
  2. Step 2: Convert to fraction form
    287,548/620,024 = 620,024/x
  3. Step 3: Cross multiply
    287,548x = 620,024 × 620,024
  4. Step 4: Simplify right side
    287,548x = 384,429,760,576
  5. Step 5: Solve for x
    x = 384,429,760,576/287,548
  6. Step 6: Final answer
    x = 1,336,923.79

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Why These Related Problems?

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