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Finding the Third Proportional to 211,255 and 469,737

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Solution

The third proportional to 211,255 and 469,737 is: 1,044,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,255 : 469,737 = 469,737 : x
  2. Step 2: Convert to fraction form
    211,255/469,737 = 469,737/x
  3. Step 3: Cross multiply
    211,255x = 469,737 × 469,737
  4. Step 4: Simplify right side
    211,255x = 220,652,849,169
  5. Step 5: Solve for x
    x = 220,652,849,169/211,255
  6. Step 6: Final answer
    x = 1,044,485.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.