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Finding the Third Proportional to 369,298.63 and 803,301.75

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Solution

The third proportional to 369,298.63 and 803,301.75 is: 1,747,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,298.63 : 803,301.75 = 803,301.75 : x
  2. Step 2: Convert to fraction form
    369,298.63/803,301.75 = 803,301.75/x
  3. Step 3: Cross multiply
    369,298.63x = 803,301.75 × 803,301.75
  4. Step 4: Simplify right side
    369,298.63x = 645,293,701,553.06
  5. Step 5: Solve for x
    x = 645,293,701,553.06/369,298.63
  6. Step 6: Final answer
    x = 1,747,349.32

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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.