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Finding the Third Proportional to 292,871 and 639,445

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Solution

The third proportional to 292,871 and 639,445 is: 1,396,143.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,871 : 639,445 = 639,445 : x
  2. Step 2: Convert to fraction form
    292,871/639,445 = 639,445/x
  3. Step 3: Cross multiply
    292,871x = 639,445 × 639,445
  4. Step 4: Simplify right side
    292,871x = 408,889,908,025
  5. Step 5: Solve for x
    x = 408,889,908,025/292,871
  6. Step 6: Final answer
    x = 1,396,143.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.