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Finding the Third Proportional to 392,710 and 847,448

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Solution

The third proportional to 392,710 and 847,448 is: 1,828,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,710 : 847,448 = 847,448 : x
  2. Step 2: Convert to fraction form
    392,710/847,448 = 847,448/x
  3. Step 3: Cross multiply
    392,710x = 847,448 × 847,448
  4. Step 4: Simplify right side
    392,710x = 718,168,112,704
  5. Step 5: Solve for x
    x = 718,168,112,704/392,710
  6. Step 6: Final answer
    x = 1,828,749.24

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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.