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Finding the Third Proportional to 258,682.50 and 562,927.50

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Solution

The third proportional to 258,682.50 and 562,927.50 is: 1,225,005.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,682.50 : 562,927.50 = 562,927.50 : x
  2. Step 2: Convert to fraction form
    258,682.50/562,927.50 = 562,927.50/x
  3. Step 3: Cross multiply
    258,682.50x = 562,927.50 × 562,927.50
  4. Step 4: Simplify right side
    258,682.50x = 316,887,370,256.25
  5. Step 5: Solve for x
    x = 316,887,370,256.25/258,682.50
  6. Step 6: Final answer
    x = 1,225,005.06

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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.