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Finding the Third Proportional to 210,008 and 466,240

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Solution

The third proportional to 210,008 and 466,240 is: 1,035,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,008 : 466,240 = 466,240 : x
  2. Step 2: Convert to fraction form
    210,008/466,240 = 466,240/x
  3. Step 3: Cross multiply
    210,008x = 466,240 × 466,240
  4. Step 4: Simplify right side
    210,008x = 217,379,737,600
  5. Step 5: Solve for x
    x = 217,379,737,600/210,008
  6. Step 6: Final answer
    x = 1,035,102.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.