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Finding the Third Proportional to 501.94 and 705.47

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Solution

The third proportional to 501.94 and 705.47 is: 991.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.94 : 705.47 = 705.47 : x
  2. Step 2: Convert to fraction form
    501.94/705.47 = 705.47/x
  3. Step 3: Cross multiply
    501.94x = 705.47 × 705.47
  4. Step 4: Simplify right side
    501.94x = 497,686.16
  5. Step 5: Solve for x
    x = 497,686.16/501.94
  6. Step 6: Final answer
    x = 991.53

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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.