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Finding the Third Proportional to 582.35 and 917.18

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Solution

The third proportional to 582.35 and 917.18 is: 1,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.35 : 917.18 = 917.18 : x
  2. Step 2: Convert to fraction form
    582.35/917.18 = 917.18/x
  3. Step 3: Cross multiply
    582.35x = 917.18 × 917.18
  4. Step 4: Simplify right side
    582.35x = 841,223.95
  5. Step 5: Solve for x
    x = 841,223.95/582.35
  6. Step 6: Final answer
    x = 1,444.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.