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Finding the Third Proportional to 369,298.50 and 803,302

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Solution

The third proportional to 369,298.50 and 803,302 is: 1,747,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,298.50 : 803,302 = 803,302 : x
  2. Step 2: Convert to fraction form
    369,298.50/803,302 = 803,302/x
  3. Step 3: Cross multiply
    369,298.50x = 803,302 × 803,302
  4. Step 4: Simplify right side
    369,298.50x = 645,294,103,204
  5. Step 5: Solve for x
    x = 645,294,103,204/369,298.50
  6. Step 6: Final answer
    x = 1,747,351.00

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.