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Finding the Third Proportional to 530.94 and 717.09

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Solution

The third proportional to 530.94 and 717.09 is: 968.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.94 : 717.09 = 717.09 : x
  2. Step 2: Convert to fraction form
    530.94/717.09 = 717.09/x
  3. Step 3: Cross multiply
    530.94x = 717.09 × 717.09
  4. Step 4: Simplify right side
    530.94x = 514,223.45
  5. Step 5: Solve for x
    x = 514,223.45/530.94
  6. Step 6: Final answer
    x = 968.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.