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Finding the Third Proportional to 767,886.75 and 1,058,518.13

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Solution

The third proportional to 767,886.75 and 1,058,518.13 is: 1,459,148.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,886.75 : 1,058,518.13 = 1,058,518.13 : x
  2. Step 2: Convert to fraction form
    767,886.75/1,058,518.13 = 1,058,518.13/x
  3. Step 3: Cross multiply
    767,886.75x = 1,058,518.13 × 1,058,518.13
  4. Step 4: Simplify right side
    767,886.75x = 1,120,460,620,953.52
  5. Step 5: Solve for x
    x = 1,120,460,620,953.52/767,886.75
  6. Step 6: Final answer
    x = 1,459,148.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.