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Finding the Third Proportional to 213,867.50 and 468,559

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Solution

The third proportional to 213,867.50 and 468,559 is: 1,026,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,867.50 : 468,559 = 468,559 : x
  2. Step 2: Convert to fraction form
    213,867.50/468,559 = 468,559/x
  3. Step 3: Cross multiply
    213,867.50x = 468,559 × 468,559
  4. Step 4: Simplify right side
    213,867.50x = 219,547,536,481
  5. Step 5: Solve for x
    x = 219,547,536,481/213,867.50
  6. Step 6: Final answer
    x = 1,026,558.67

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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.