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Finding the Third Proportional to 498,156.33 and 793,052.02

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Solution

The third proportional to 498,156.33 and 793,052.02 is: 1,262,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,156.33 : 793,052.02 = 793,052.02 : x
  2. Step 2: Convert to fraction form
    498,156.33/793,052.02 = 793,052.02/x
  3. Step 3: Cross multiply
    498,156.33x = 793,052.02 × 793,052.02
  4. Step 4: Simplify right side
    498,156.33x = 628,931,499,486.88
  5. Step 5: Solve for x
    x = 628,931,499,486.88/498,156.33
  6. Step 6: Final answer
    x = 1,262,518.34

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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.