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Finding the Third Proportional to 333,798 and 717,364.50

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Solution

The third proportional to 333,798 and 717,364.50 is: 1,541,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,798 : 717,364.50 = 717,364.50 : x
  2. Step 2: Convert to fraction form
    333,798/717,364.50 = 717,364.50/x
  3. Step 3: Cross multiply
    333,798x = 717,364.50 × 717,364.50
  4. Step 4: Simplify right side
    333,798x = 514,611,825,860.25
  5. Step 5: Solve for x
    x = 514,611,825,860.25/333,798
  6. Step 6: Final answer
    x = 1,541,686.37

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.