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Finding the Third Proportional to 408,574,832.34 and 573,311,371.08

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Solution

The third proportional to 408,574,832.34 and 573,311,371.08 is: 804,469,346.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,574,832.34 : 573,311,371.08 = 573,311,371.08 : x
  2. Step 2: Convert to fraction form
    408,574,832.34/573,311,371.08 = 573,311,371.08/x
  3. Step 3: Cross multiply
    408,574,832.34x = 573,311,371.08 × 573,311,371.08
  4. Step 4: Simplify right side
    408,574,832.34x = 328,685,928,207,450,816
  5. Step 5: Solve for x
    x = 328,685,928,207,450,816/408,574,832.34
  6. Step 6: Final answer
    x = 804,469,346.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.