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Finding the Third Proportional to 258,690 and 562,944

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Solution

The third proportional to 258,690 and 562,944 is: 1,225,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,690 : 562,944 = 562,944 : x
  2. Step 2: Convert to fraction form
    258,690/562,944 = 562,944/x
  3. Step 3: Cross multiply
    258,690x = 562,944 × 562,944
  4. Step 4: Simplify right side
    258,690x = 316,905,947,136
  5. Step 5: Solve for x
    x = 316,905,947,136/258,690
  6. Step 6: Final answer
    x = 1,225,041.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.