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Finding the Third Proportional to 286,328 and 610,574

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Solution

The third proportional to 286,328 and 610,574 is: 1,302,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,328 : 610,574 = 610,574 : x
  2. Step 2: Convert to fraction form
    286,328/610,574 = 610,574/x
  3. Step 3: Cross multiply
    286,328x = 610,574 × 610,574
  4. Step 4: Simplify right side
    286,328x = 372,800,609,476
  5. Step 5: Solve for x
    x = 372,800,609,476/286,328
  6. Step 6: Final answer
    x = 1,302,005.43

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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.