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Finding the Third Proportional to 207,631.50 and 452,783.63

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Solution

The third proportional to 207,631.50 and 452,783.63 is: 987,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,631.50 : 452,783.63 = 452,783.63 : x
  2. Step 2: Convert to fraction form
    207,631.50/452,783.63 = 452,783.63/x
  3. Step 3: Cross multiply
    207,631.50x = 452,783.63 × 452,783.63
  4. Step 4: Simplify right side
    207,631.50x = 205,013,011,068.14
  5. Step 5: Solve for x
    x = 205,013,011,068.14/207,631.50
  6. Step 6: Final answer
    x = 987,388.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.