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Finding the Third Proportional to 225,689 and 350,585

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Solution

The third proportional to 225,689 and 350,585 is: 544,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,689 : 350,585 = 350,585 : x
  2. Step 2: Convert to fraction form
    225,689/350,585 = 350,585/x
  3. Step 3: Cross multiply
    225,689x = 350,585 × 350,585
  4. Step 4: Simplify right side
    225,689x = 122,909,842,225
  5. Step 5: Solve for x
    x = 122,909,842,225/225,689
  6. Step 6: Final answer
    x = 544,598.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.