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Finding the Third Proportional to 213,399 and 446,526.56

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Solution

The third proportional to 213,399 and 446,526.56 is: 934,334.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,399 : 446,526.56 = 446,526.56 : x
  2. Step 2: Convert to fraction form
    213,399/446,526.56 = 446,526.56/x
  3. Step 3: Cross multiply
    213,399x = 446,526.56 × 446,526.56
  4. Step 4: Simplify right side
    213,399x = 199,385,971,018.07
  5. Step 5: Solve for x
    x = 199,385,971,018.07/213,399
  6. Step 6: Final answer
    x = 934,334.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.