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Finding the Third Proportional to 530.30 and 795.45

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Solution

The third proportional to 530.30 and 795.45 is: 1,193.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.30 : 795.45 = 795.45 : x
  2. Step 2: Convert to fraction form
    530.30/795.45 = 795.45/x
  3. Step 3: Cross multiply
    530.30x = 795.45 × 795.45
  4. Step 4: Simplify right side
    530.30x = 632,733.25
  5. Step 5: Solve for x
    x = 632,733.25/530.30
  6. Step 6: Final answer
    x = 1,193.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.