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Finding the Third Proportional to 221,145 and 473,844

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Solution

The third proportional to 221,145 and 473,844 is: 1,015,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,145 : 473,844 = 473,844 : x
  2. Step 2: Convert to fraction form
    221,145/473,844 = 473,844/x
  3. Step 3: Cross multiply
    221,145x = 473,844 × 473,844
  4. Step 4: Simplify right side
    221,145x = 224,528,136,336
  5. Step 5: Solve for x
    x = 224,528,136,336/221,145
  6. Step 6: Final answer
    x = 1,015,298.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.