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Finding the Third Proportional to 211,462.50 and 455,934

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Solution

The third proportional to 211,462.50 and 455,934 is: 983,038.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,462.50 : 455,934 = 455,934 : x
  2. Step 2: Convert to fraction form
    211,462.50/455,934 = 455,934/x
  3. Step 3: Cross multiply
    211,462.50x = 455,934 × 455,934
  4. Step 4: Simplify right side
    211,462.50x = 207,875,812,356
  5. Step 5: Solve for x
    x = 207,875,812,356/211,462.50
  6. Step 6: Final answer
    x = 983,038.66

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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.