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Finding the Third Proportional to 216,547.50 and 446,826

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Solution

The third proportional to 216,547.50 and 446,826 is: 921,984.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,547.50 : 446,826 = 446,826 : x
  2. Step 2: Convert to fraction form
    216,547.50/446,826 = 446,826/x
  3. Step 3: Cross multiply
    216,547.50x = 446,826 × 446,826
  4. Step 4: Simplify right side
    216,547.50x = 199,653,474,276
  5. Step 5: Solve for x
    x = 199,653,474,276/216,547.50
  6. Step 6: Final answer
    x = 921,984.67

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.