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Finding the Third Proportional to 360,670 and 562,841

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Solution

The third proportional to 360,670 and 562,841 is: 878,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,670 : 562,841 = 562,841 : x
  2. Step 2: Convert to fraction form
    360,670/562,841 = 562,841/x
  3. Step 3: Cross multiply
    360,670x = 562,841 × 562,841
  4. Step 4: Simplify right side
    360,670x = 316,789,991,281
  5. Step 5: Solve for x
    x = 316,789,991,281/360,670
  6. Step 6: Final answer
    x = 878,337.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.