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Finding the Third Proportional to 285,210 and 607,124

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Solution

The third proportional to 285,210 and 607,124 is: 1,292,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,210 : 607,124 = 607,124 : x
  2. Step 2: Convert to fraction form
    285,210/607,124 = 607,124/x
  3. Step 3: Cross multiply
    285,210x = 607,124 × 607,124
  4. Step 4: Simplify right side
    285,210x = 368,599,551,376
  5. Step 5: Solve for x
    x = 368,599,551,376/285,210
  6. Step 6: Final answer
    x = 1,292,379.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.