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Finding the Third Proportional to 619,483.50 and 872,382.38

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Solution

The third proportional to 619,483.50 and 872,382.38 is: 1,228,525.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,483.50 : 872,382.38 = 872,382.38 : x
  2. Step 2: Convert to fraction form
    619,483.50/872,382.38 = 872,382.38/x
  3. Step 3: Cross multiply
    619,483.50x = 872,382.38 × 872,382.38
  4. Step 4: Simplify right side
    619,483.50x = 761,051,008,210.64
  5. Step 5: Solve for x
    x = 761,051,008,210.64/619,483.50
  6. Step 6: Final answer
    x = 1,228,525.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.