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Finding the Third Proportional to 370,038 and 796,209

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Solution

The third proportional to 370,038 and 796,209 is: 1,713,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,038 : 796,209 = 796,209 : x
  2. Step 2: Convert to fraction form
    370,038/796,209 = 796,209/x
  3. Step 3: Cross multiply
    370,038x = 796,209 × 796,209
  4. Step 4: Simplify right side
    370,038x = 633,948,771,681
  5. Step 5: Solve for x
    x = 633,948,771,681/370,038
  6. Step 6: Final answer
    x = 1,713,199.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.