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Finding the Third Proportional to 211,384.69 and 463,492.13

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Solution

The third proportional to 211,384.69 and 463,492.13 is: 1,016,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,384.69 : 463,492.13 = 463,492.13 : x
  2. Step 2: Convert to fraction form
    211,384.69/463,492.13 = 463,492.13/x
  3. Step 3: Cross multiply
    211,384.69x = 463,492.13 × 463,492.13
  4. Step 4: Simplify right side
    211,384.69x = 214,824,949,937.02
  5. Step 5: Solve for x
    x = 214,824,949,937.02/211,384.69
  6. Step 6: Final answer
    x = 1,016,274.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.