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Finding the Third Proportional to 213,066 and 473,430

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Solution

The third proportional to 213,066 and 473,430 is: 1,051,955.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,066 : 473,430 = 473,430 : x
  2. Step 2: Convert to fraction form
    213,066/473,430 = 473,430/x
  3. Step 3: Cross multiply
    213,066x = 473,430 × 473,430
  4. Step 4: Simplify right side
    213,066x = 224,135,964,900
  5. Step 5: Solve for x
    x = 224,135,964,900/213,066
  6. Step 6: Final answer
    x = 1,051,955.57

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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.