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Finding the Third Proportional to 367,824 and 562,428

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Solution

The third proportional to 367,824 and 562,428 is: 859,990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,824 : 562,428 = 562,428 : x
  2. Step 2: Convert to fraction form
    367,824/562,428 = 562,428/x
  3. Step 3: Cross multiply
    367,824x = 562,428 × 562,428
  4. Step 4: Simplify right side
    367,824x = 316,325,255,184
  5. Step 5: Solve for x
    x = 316,325,255,184/367,824
  6. Step 6: Final answer
    x = 859,990.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.