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Finding the Third Proportional to 211,076 and 455,830

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Solution

The third proportional to 211,076 and 455,830 is: 984,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,076 : 455,830 = 455,830 : x
  2. Step 2: Convert to fraction form
    211,076/455,830 = 455,830/x
  3. Step 3: Cross multiply
    211,076x = 455,830 × 455,830
  4. Step 4: Simplify right side
    211,076x = 207,780,988,900
  5. Step 5: Solve for x
    x = 207,780,988,900/211,076
  6. Step 6: Final answer
    x = 984,389.46

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