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Finding the Third Proportional to 223,984.50 and 483,597

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Solution

The third proportional to 223,984.50 and 483,597 is: 1,044,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,984.50 : 483,597 = 483,597 : x
  2. Step 2: Convert to fraction form
    223,984.50/483,597 = 483,597/x
  3. Step 3: Cross multiply
    223,984.50x = 483,597 × 483,597
  4. Step 4: Simplify right side
    223,984.50x = 233,866,058,409
  5. Step 5: Solve for x
    x = 233,866,058,409/223,984.50
  6. Step 6: Final answer
    x = 1,044,117.15

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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.