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Finding the Third Proportional to 212,432 and 460,859

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Solution

The third proportional to 212,432 and 460,859 is: 999,807.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,432 : 460,859 = 460,859 : x
  2. Step 2: Convert to fraction form
    212,432/460,859 = 460,859/x
  3. Step 3: Cross multiply
    212,432x = 460,859 × 460,859
  4. Step 4: Simplify right side
    212,432x = 212,391,017,881
  5. Step 5: Solve for x
    x = 212,391,017,881/212,432
  6. Step 6: Final answer
    x = 999,807.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.