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Finding the Third Proportional to 211,257 and 469,741.50

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Solution

The third proportional to 211,257 and 469,741.50 is: 1,044,495.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,257 : 469,741.50 = 469,741.50 : x
  2. Step 2: Convert to fraction form
    211,257/469,741.50 = 469,741.50/x
  3. Step 3: Cross multiply
    211,257x = 469,741.50 × 469,741.50
  4. Step 4: Simplify right side
    211,257x = 220,657,076,822.25
  5. Step 5: Solve for x
    x = 220,657,076,822.25/211,257
  6. Step 6: Final answer
    x = 1,044,495.93

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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.