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Finding the Third Proportional to 525,210.75 and 1,152,542.25

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Solution

The third proportional to 525,210.75 and 1,152,542.25 is: 2,529,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,210.75 : 1,152,542.25 = 1,152,542.25 : x
  2. Step 2: Convert to fraction form
    525,210.75/1,152,542.25 = 1,152,542.25/x
  3. Step 3: Cross multiply
    525,210.75x = 1,152,542.25 × 1,152,542.25
  4. Step 4: Simplify right side
    525,210.75x = 1,328,353,638,035.06
  5. Step 5: Solve for x
    x = 1,328,353,638,035.06/525,210.75
  6. Step 6: Final answer
    x = 2,529,182.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.