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Finding the Third Proportional to 285,288 and 602,412

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Solution

The third proportional to 285,288 and 602,412 is: 1,272,048.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,288 : 602,412 = 602,412 : x
  2. Step 2: Convert to fraction form
    285,288/602,412 = 602,412/x
  3. Step 3: Cross multiply
    285,288x = 602,412 × 602,412
  4. Step 4: Simplify right side
    285,288x = 362,900,217,744
  5. Step 5: Solve for x
    x = 362,900,217,744/285,288
  6. Step 6: Final answer
    x = 1,272,048.66

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.