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Finding the Third Proportional to 285,013 and 602,210

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Solution

The third proportional to 285,013 and 602,210 is: 1,272,422.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,013 : 602,210 = 602,210 : x
  2. Step 2: Convert to fraction form
    285,013/602,210 = 602,210/x
  3. Step 3: Cross multiply
    285,013x = 602,210 × 602,210
  4. Step 4: Simplify right side
    285,013x = 362,656,884,100
  5. Step 5: Solve for x
    x = 362,656,884,100/285,013
  6. Step 6: Final answer
    x = 1,272,422.25

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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.