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Finding the Third Proportional to 528,180.75 and 1,138,495.50

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Solution

The third proportional to 528,180.75 and 1,138,495.50 is: 2,454,031.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,180.75 : 1,138,495.50 = 1,138,495.50 : x
  2. Step 2: Convert to fraction form
    528,180.75/1,138,495.50 = 1,138,495.50/x
  3. Step 3: Cross multiply
    528,180.75x = 1,138,495.50 × 1,138,495.50
  4. Step 4: Simplify right side
    528,180.75x = 1,296,172,003,520.25
  5. Step 5: Solve for x
    x = 1,296,172,003,520.25/528,180.75
  6. Step 6: Final answer
    x = 2,454,031.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.