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Finding the Third Proportional to 313,426 and 470,904

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Solution

The third proportional to 313,426 and 470,904 is: 707,505.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,426 : 470,904 = 470,904 : x
  2. Step 2: Convert to fraction form
    313,426/470,904 = 470,904/x
  3. Step 3: Cross multiply
    313,426x = 470,904 × 470,904
  4. Step 4: Simplify right side
    313,426x = 221,750,577,216
  5. Step 5: Solve for x
    x = 221,750,577,216/313,426
  6. Step 6: Final answer
    x = 707,505.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.