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Finding the Third Proportional to 243,708.75 and 569,421

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Solution

The third proportional to 243,708.75 and 569,421 is: 1,330,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,708.75 : 569,421 = 569,421 : x
  2. Step 2: Convert to fraction form
    243,708.75/569,421 = 569,421/x
  3. Step 3: Cross multiply
    243,708.75x = 569,421 × 569,421
  4. Step 4: Simplify right side
    243,708.75x = 324,240,275,241
  5. Step 5: Solve for x
    x = 324,240,275,241/243,708.75
  6. Step 6: Final answer
    x = 1,330,441.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.