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Finding the Third Proportional to 372,366 and 803,763

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Solution

The third proportional to 372,366 and 803,763 is: 1,734,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,366 : 803,763 = 803,763 : x
  2. Step 2: Convert to fraction form
    372,366/803,763 = 803,763/x
  3. Step 3: Cross multiply
    372,366x = 803,763 × 803,763
  4. Step 4: Simplify right side
    372,366x = 646,034,960,169
  5. Step 5: Solve for x
    x = 646,034,960,169/372,366
  6. Step 6: Final answer
    x = 1,734,946.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.