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Finding the Third Proportional to 220,534 and 483,095

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Solution

The third proportional to 220,534 and 483,095 is: 1,058,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,534 : 483,095 = 483,095 : x
  2. Step 2: Convert to fraction form
    220,534/483,095 = 483,095/x
  3. Step 3: Cross multiply
    220,534x = 483,095 × 483,095
  4. Step 4: Simplify right side
    220,534x = 233,380,779,025
  5. Step 5: Solve for x
    x = 233,380,779,025/220,534
  6. Step 6: Final answer
    x = 1,058,253.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.