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Finding the Third Proportional to 286,047 and 617,058

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Solution

The third proportional to 286,047 and 617,058 is: 1,331,111.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,047 : 617,058 = 617,058 : x
  2. Step 2: Convert to fraction form
    286,047/617,058 = 617,058/x
  3. Step 3: Cross multiply
    286,047x = 617,058 × 617,058
  4. Step 4: Simplify right side
    286,047x = 380,760,575,364
  5. Step 5: Solve for x
    x = 380,760,575,364/286,047
  6. Step 6: Final answer
    x = 1,331,111.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.