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Finding the Third Proportional to 530.44 and 613.69

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Solution

The third proportional to 530.44 and 613.69 is: 710.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 613.69 = 613.69 : x
  2. Step 2: Convert to fraction form
    530.44/613.69 = 613.69/x
  3. Step 3: Cross multiply
    530.44x = 613.69 × 613.69
  4. Step 4: Simplify right side
    530.44x = 376,612.35
  5. Step 5: Solve for x
    x = 376,612.35/530.44
  6. Step 6: Final answer
    x = 710.00

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.