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Finding the Third Proportional to 498,158.86 and 793,055.81

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Solution

The third proportional to 498,158.86 and 793,055.81 is: 1,262,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,158.86 : 793,055.81 = 793,055.81 : x
  2. Step 2: Convert to fraction form
    498,158.86/793,055.81 = 793,055.81/x
  3. Step 3: Cross multiply
    498,158.86x = 793,055.81 × 793,055.81
  4. Step 4: Simplify right side
    498,158.86x = 628,937,521,740.04
  5. Step 5: Solve for x
    x = 628,937,521,740.04/498,158.86
  6. Step 6: Final answer
    x = 1,262,524.01

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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.