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Finding the Third Proportional to 223,564 and 480,420

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Solution

The third proportional to 223,564 and 480,420 is: 1,032,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,564 : 480,420 = 480,420 : x
  2. Step 2: Convert to fraction form
    223,564/480,420 = 480,420/x
  3. Step 3: Cross multiply
    223,564x = 480,420 × 480,420
  4. Step 4: Simplify right side
    223,564x = 230,803,376,400
  5. Step 5: Solve for x
    x = 230,803,376,400/223,564
  6. Step 6: Final answer
    x = 1,032,381.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.