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Finding the Third Proportional to 211,004 and 455,300

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Solution

The third proportional to 211,004 and 455,300 is: 982,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,004 : 455,300 = 455,300 : x
  2. Step 2: Convert to fraction form
    211,004/455,300 = 455,300/x
  3. Step 3: Cross multiply
    211,004x = 455,300 × 455,300
  4. Step 4: Simplify right side
    211,004x = 207,298,090,000
  5. Step 5: Solve for x
    x = 207,298,090,000/211,004
  6. Step 6: Final answer
    x = 982,436.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.