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Finding the Third Proportional to 213,124.50 and 455,796

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Solution

The third proportional to 213,124.50 and 455,796 is: 974,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,124.50 : 455,796 = 455,796 : x
  2. Step 2: Convert to fraction form
    213,124.50/455,796 = 455,796/x
  3. Step 3: Cross multiply
    213,124.50x = 455,796 × 455,796
  4. Step 4: Simplify right side
    213,124.50x = 207,749,993,616
  5. Step 5: Solve for x
    x = 207,749,993,616/213,124.50
  6. Step 6: Final answer
    x = 974,782.32

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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.