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Finding the Third Proportional to 281,585 and 603,235

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Solution

The third proportional to 281,585 and 603,235 is: 1,292,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,585 : 603,235 = 603,235 : x
  2. Step 2: Convert to fraction form
    281,585/603,235 = 603,235/x
  3. Step 3: Cross multiply
    281,585x = 603,235 × 603,235
  4. Step 4: Simplify right side
    281,585x = 363,892,465,225
  5. Step 5: Solve for x
    x = 363,892,465,225/281,585
  6. Step 6: Final answer
    x = 1,292,300.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.