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Finding the Third Proportional to 526.13 and 785.94

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Solution

The third proportional to 526.13 and 785.94 is: 1,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.13 : 785.94 = 785.94 : x
  2. Step 2: Convert to fraction form
    526.13/785.94 = 785.94/x
  3. Step 3: Cross multiply
    526.13x = 785.94 × 785.94
  4. Step 4: Simplify right side
    526.13x = 617,697.75
  5. Step 5: Solve for x
    x = 617,697.75/526.13
  6. Step 6: Final answer
    x = 1,174.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.