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Finding the Third Proportional to 213,000.26 and 455,921.79

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Solution

The third proportional to 213,000.26 and 455,921.79 is: 975,889.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,000.26 : 455,921.79 = 455,921.79 : x
  2. Step 2: Convert to fraction form
    213,000.26/455,921.79 = 455,921.79/x
  3. Step 3: Cross multiply
    213,000.26x = 455,921.79 × 455,921.79
  4. Step 4: Simplify right side
    213,000.26x = 207,864,677,741.95
  5. Step 5: Solve for x
    x = 207,864,677,741.95/213,000.26
  6. Step 6: Final answer
    x = 975,889.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.