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Finding the Third Proportional to 369,299 and 803,303

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Solution

The third proportional to 369,299 and 803,303 is: 1,747,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,299 : 803,303 = 803,303 : x
  2. Step 2: Convert to fraction form
    369,299/803,303 = 803,303/x
  3. Step 3: Cross multiply
    369,299x = 803,303 × 803,303
  4. Step 4: Simplify right side
    369,299x = 645,295,709,809
  5. Step 5: Solve for x
    x = 645,295,709,809/369,299
  6. Step 6: Final answer
    x = 1,747,352.98

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Why These Related Problems?

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