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Finding the Third Proportional to 428,498.50 and 818,117

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Solution

The third proportional to 428,498.50 and 818,117 is: 1,562,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,498.50 : 818,117 = 818,117 : x
  2. Step 2: Convert to fraction form
    428,498.50/818,117 = 818,117/x
  3. Step 3: Cross multiply
    428,498.50x = 818,117 × 818,117
  4. Step 4: Simplify right side
    428,498.50x = 669,315,425,689
  5. Step 5: Solve for x
    x = 669,315,425,689/428,498.50
  6. Step 6: Final answer
    x = 1,562,001.79

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.