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Finding the Third Proportional to 370,114 and 796,358

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Solution

The third proportional to 370,114 and 796,358 is: 1,713,488.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,114 : 796,358 = 796,358 : x
  2. Step 2: Convert to fraction form
    370,114/796,358 = 796,358/x
  3. Step 3: Cross multiply
    370,114x = 796,358 × 796,358
  4. Step 4: Simplify right side
    370,114x = 634,186,064,164
  5. Step 5: Solve for x
    x = 634,186,064,164/370,114
  6. Step 6: Final answer
    x = 1,713,488.45

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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.