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Finding the Third Proportional to 262,794.53 and 411,707.02

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Solution

The third proportional to 262,794.53 and 411,707.02 is: 645,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,794.53 : 411,707.02 = 411,707.02 : x
  2. Step 2: Convert to fraction form
    262,794.53/411,707.02 = 411,707.02/x
  3. Step 3: Cross multiply
    262,794.53x = 411,707.02 × 411,707.02
  4. Step 4: Simplify right side
    262,794.53x = 169,502,671,539.52
  5. Step 5: Solve for x
    x = 169,502,671,539.52/262,794.53
  6. Step 6: Final answer
    x = 645,000.75

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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.