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Finding the Third Proportional to 447,357.38 and 677,551.50

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Solution

The third proportional to 447,357.38 and 677,551.50 is: 1,026,195.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,357.38 : 677,551.50 = 677,551.50 : x
  2. Step 2: Convert to fraction form
    447,357.38/677,551.50 = 677,551.50/x
  3. Step 3: Cross multiply
    447,357.38x = 677,551.50 × 677,551.50
  4. Step 4: Simplify right side
    447,357.38x = 459,076,035,152.25
  5. Step 5: Solve for x
    x = 459,076,035,152.25/447,357.38
  6. Step 6: Final answer
    x = 1,026,195.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.