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Finding the Third Proportional to 219,544 and 456,312

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Solution

The third proportional to 219,544 and 456,312 is: 948,423.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,544 : 456,312 = 456,312 : x
  2. Step 2: Convert to fraction form
    219,544/456,312 = 456,312/x
  3. Step 3: Cross multiply
    219,544x = 456,312 × 456,312
  4. Step 4: Simplify right side
    219,544x = 208,220,641,344
  5. Step 5: Solve for x
    x = 208,220,641,344/219,544
  6. Step 6: Final answer
    x = 948,423.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.