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Finding the Third Proportional to 207,808.13 and 447,673.50

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Solution

The third proportional to 207,808.13 and 447,673.50 is: 964,406.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,808.13 : 447,673.50 = 447,673.50 : x
  2. Step 2: Convert to fraction form
    207,808.13/447,673.50 = 447,673.50/x
  3. Step 3: Cross multiply
    207,808.13x = 447,673.50 × 447,673.50
  4. Step 4: Simplify right side
    207,808.13x = 200,411,562,602.25
  5. Step 5: Solve for x
    x = 200,411,562,602.25/207,808.13
  6. Step 6: Final answer
    x = 964,406.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.