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Finding the Third Proportional to 240,303.38 and 519,152.63

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Solution

The third proportional to 240,303.38 and 519,152.63 is: 1,121,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,303.38 : 519,152.63 = 519,152.63 : x
  2. Step 2: Convert to fraction form
    240,303.38/519,152.63 = 519,152.63/x
  3. Step 3: Cross multiply
    240,303.38x = 519,152.63 × 519,152.63
  4. Step 4: Simplify right side
    240,303.38x = 269,519,448,044.39
  5. Step 5: Solve for x
    x = 269,519,448,044.39/240,303.38
  6. Step 6: Final answer
    x = 1,121,579.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.