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Finding the Third Proportional to 221,038 and 473,100

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Solution

The third proportional to 221,038 and 473,100 is: 1,012,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,038 : 473,100 = 473,100 : x
  2. Step 2: Convert to fraction form
    221,038/473,100 = 473,100/x
  3. Step 3: Cross multiply
    221,038x = 473,100 × 473,100
  4. Step 4: Simplify right side
    221,038x = 223,823,610,000
  5. Step 5: Solve for x
    x = 223,823,610,000/221,038
  6. Step 6: Final answer
    x = 1,012,602.40

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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.