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Finding the Third Proportional to 211,461 and 455,928

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Solution

The third proportional to 211,461 and 455,928 is: 983,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,461 : 455,928 = 455,928 : x
  2. Step 2: Convert to fraction form
    211,461/455,928 = 455,928/x
  3. Step 3: Cross multiply
    211,461x = 455,928 × 455,928
  4. Step 4: Simplify right side
    211,461x = 207,870,341,184
  5. Step 5: Solve for x
    x = 207,870,341,184/211,461
  6. Step 6: Final answer
    x = 983,019.76

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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.