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Finding the Third Proportional to 258,894.56 and 535,762.69

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Solution

The third proportional to 258,894.56 and 535,762.69 is: 1,108,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,894.56 : 535,762.69 = 535,762.69 : x
  2. Step 2: Convert to fraction form
    258,894.56/535,762.69 = 535,762.69/x
  3. Step 3: Cross multiply
    258,894.56x = 535,762.69 × 535,762.69
  4. Step 4: Simplify right side
    258,894.56x = 287,041,657,317.22
  5. Step 5: Solve for x
    x = 287,041,657,317.22/258,894.56
  6. Step 6: Final answer
    x = 1,108,720.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.