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Finding the Third Proportional to 218,964 and 473,910

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Solution

The third proportional to 218,964 and 473,910 is: 1,025,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964 : 473,910 = 473,910 : x
  2. Step 2: Convert to fraction form
    218,964/473,910 = 473,910/x
  3. Step 3: Cross multiply
    218,964x = 473,910 × 473,910
  4. Step 4: Simplify right side
    218,964x = 224,590,688,100
  5. Step 5: Solve for x
    x = 224,590,688,100/218,964
  6. Step 6: Final answer
    x = 1,025,696.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.