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Finding the Third Proportional to 228,598 and 351,585

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Solution

The third proportional to 228,598 and 351,585 is: 540,739.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,598 : 351,585 = 351,585 : x
  2. Step 2: Convert to fraction form
    228,598/351,585 = 351,585/x
  3. Step 3: Cross multiply
    228,598x = 351,585 × 351,585
  4. Step 4: Simplify right side
    228,598x = 123,612,012,225
  5. Step 5: Solve for x
    x = 123,612,012,225/228,598
  6. Step 6: Final answer
    x = 540,739.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.