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Finding the Third Proportional to 369,298 and 803,301

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Solution

The third proportional to 369,298 and 803,301 is: 1,747,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,298 : 803,301 = 803,301 : x
  2. Step 2: Convert to fraction form
    369,298/803,301 = 803,301/x
  3. Step 3: Cross multiply
    369,298x = 803,301 × 803,301
  4. Step 4: Simplify right side
    369,298x = 645,292,496,601
  5. Step 5: Solve for x
    x = 645,292,496,601/369,298
  6. Step 6: Final answer
    x = 1,747,349.02

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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.