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Finding the Third Proportional to 571,824 and 838,630

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Solution

The third proportional to 571,824 and 838,630 is: 1,229,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,824 : 838,630 = 838,630 : x
  2. Step 2: Convert to fraction form
    571,824/838,630 = 838,630/x
  3. Step 3: Cross multiply
    571,824x = 838,630 × 838,630
  4. Step 4: Simplify right side
    571,824x = 703,300,276,900
  5. Step 5: Solve for x
    x = 703,300,276,900/571,824
  6. Step 6: Final answer
    x = 1,229,924.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.