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Finding the Third Proportional to 577.06 and 917.38

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Solution

The third proportional to 577.06 and 917.38 is: 1,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.06 : 917.38 = 917.38 : x
  2. Step 2: Convert to fraction form
    577.06/917.38 = 917.38/x
  3. Step 3: Cross multiply
    577.06x = 917.38 × 917.38
  4. Step 4: Simplify right side
    577.06x = 841,576.89
  5. Step 5: Solve for x
    x = 841,576.89/577.06
  6. Step 6: Final answer
    x = 1,458.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.