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Finding the Third Proportional to 281,607 and 583,164

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Solution

The third proportional to 281,607 and 583,164 is: 1,207,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,607 : 583,164 = 583,164 : x
  2. Step 2: Convert to fraction form
    281,607/583,164 = 583,164/x
  3. Step 3: Cross multiply
    281,607x = 583,164 × 583,164
  4. Step 4: Simplify right side
    281,607x = 340,080,250,896
  5. Step 5: Solve for x
    x = 340,080,250,896/281,607
  6. Step 6: Final answer
    x = 1,207,641.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.