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Finding the Third Proportional to 562,824 and 843,258

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Solution

The third proportional to 562,824 and 843,258 is: 1,263,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,824 : 843,258 = 843,258 : x
  2. Step 2: Convert to fraction form
    562,824/843,258 = 843,258/x
  3. Step 3: Cross multiply
    562,824x = 843,258 × 843,258
  4. Step 4: Simplify right side
    562,824x = 711,084,054,564
  5. Step 5: Solve for x
    x = 711,084,054,564/562,824
  6. Step 6: Final answer
    x = 1,263,421.70

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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.