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Finding the Third Proportional to 221,076 and 473,697

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Solution

The third proportional to 221,076 and 473,697 is: 1,014,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,076 : 473,697 = 473,697 : x
  2. Step 2: Convert to fraction form
    221,076/473,697 = 473,697/x
  3. Step 3: Cross multiply
    221,076x = 473,697 × 473,697
  4. Step 4: Simplify right side
    221,076x = 224,388,847,809
  5. Step 5: Solve for x
    x = 224,388,847,809/221,076
  6. Step 6: Final answer
    x = 1,014,985.11

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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.