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Finding the Third Proportional to 384,355.13 and 597,172.50

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Solution

The third proportional to 384,355.13 and 597,172.50 is: 927,826.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,355.13 : 597,172.50 = 597,172.50 : x
  2. Step 2: Convert to fraction form
    384,355.13/597,172.50 = 597,172.50/x
  3. Step 3: Cross multiply
    384,355.13x = 597,172.50 × 597,172.50
  4. Step 4: Simplify right side
    384,355.13x = 356,614,994,756.25
  5. Step 5: Solve for x
    x = 356,614,994,756.25/384,355.13
  6. Step 6: Final answer
    x = 927,826.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.