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Finding the Third Proportional to 262,836 and 411,769.50

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Solution

The third proportional to 262,836 and 411,769.50 is: 645,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,836 : 411,769.50 = 411,769.50 : x
  2. Step 2: Convert to fraction form
    262,836/411,769.50 = 411,769.50/x
  3. Step 3: Cross multiply
    262,836x = 411,769.50 × 411,769.50
  4. Step 4: Simplify right side
    262,836x = 169,554,121,130.25
  5. Step 5: Solve for x
    x = 169,554,121,130.25/262,836
  6. Step 6: Final answer
    x = 645,094.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.