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Finding the Third Proportional to 229,360 and 486,584

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Solution

The third proportional to 229,360 and 486,584 is: 1,032,281.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,360 : 486,584 = 486,584 : x
  2. Step 2: Convert to fraction form
    229,360/486,584 = 486,584/x
  3. Step 3: Cross multiply
    229,360x = 486,584 × 486,584
  4. Step 4: Simplify right side
    229,360x = 236,763,989,056
  5. Step 5: Solve for x
    x = 236,763,989,056/229,360
  6. Step 6: Final answer
    x = 1,032,281.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.