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Finding the Third Proportional to 228,645 and 525,874.50

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Solution

The third proportional to 228,645 and 525,874.50 is: 1,209,490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,645 : 525,874.50 = 525,874.50 : x
  2. Step 2: Convert to fraction form
    228,645/525,874.50 = 525,874.50/x
  3. Step 3: Cross multiply
    228,645x = 525,874.50 × 525,874.50
  4. Step 4: Simplify right side
    228,645x = 276,543,989,750.25
  5. Step 5: Solve for x
    x = 276,543,989,750.25/228,645
  6. Step 6: Final answer
    x = 1,209,490.65

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.