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Finding the Third Proportional to 228,643.50 and 525,870

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Solution

The third proportional to 228,643.50 and 525,870 is: 1,209,477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,643.50 : 525,870 = 525,870 : x
  2. Step 2: Convert to fraction form
    228,643.50/525,870 = 525,870/x
  3. Step 3: Cross multiply
    228,643.50x = 525,870 × 525,870
  4. Step 4: Simplify right side
    228,643.50x = 276,539,256,900
  5. Step 5: Solve for x
    x = 276,539,256,900/228,643.50
  6. Step 6: Final answer
    x = 1,209,477.89

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