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Finding the Third Proportional to 525,650.63 and 798,864.19

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Solution

The third proportional to 525,650.63 and 798,864.19 is: 1,214,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,650.63 : 798,864.19 = 798,864.19 : x
  2. Step 2: Convert to fraction form
    525,650.63/798,864.19 = 798,864.19/x
  3. Step 3: Cross multiply
    525,650.63x = 798,864.19 × 798,864.19
  4. Step 4: Simplify right side
    525,650.63x = 638,183,990,070.04
  5. Step 5: Solve for x
    x = 638,183,990,070.04/525,650.63
  6. Step 6: Final answer
    x = 1,214,083.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.