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Finding the Third Proportional to 498,210.75 and 793,129.50

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Solution

The third proportional to 498,210.75 and 793,129.50 is: 1,262,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,210.75 : 793,129.50 = 793,129.50 : x
  2. Step 2: Convert to fraction form
    498,210.75/793,129.50 = 793,129.50/x
  3. Step 3: Cross multiply
    498,210.75x = 793,129.50 × 793,129.50
  4. Step 4: Simplify right side
    498,210.75x = 629,054,403,770.25
  5. Step 5: Solve for x
    x = 629,054,403,770.25/498,210.75
  6. Step 6: Final answer
    x = 1,262,627.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.