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Finding the Third Proportional to 370,664 and 807,856

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Solution

The third proportional to 370,664 and 807,856 is: 1,760,708.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,664 : 807,856 = 807,856 : x
  2. Step 2: Convert to fraction form
    370,664/807,856 = 807,856/x
  3. Step 3: Cross multiply
    370,664x = 807,856 × 807,856
  4. Step 4: Simplify right side
    370,664x = 652,631,316,736
  5. Step 5: Solve for x
    x = 652,631,316,736/370,664
  6. Step 6: Final answer
    x = 1,760,708.67

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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.