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Finding the Third Proportional to 213,018.75 and 466,776

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Solution

The third proportional to 213,018.75 and 466,776 is: 1,022,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,018.75 : 466,776 = 466,776 : x
  2. Step 2: Convert to fraction form
    213,018.75/466,776 = 466,776/x
  3. Step 3: Cross multiply
    213,018.75x = 466,776 × 466,776
  4. Step 4: Simplify right side
    213,018.75x = 217,879,834,176
  5. Step 5: Solve for x
    x = 217,879,834,176/213,018.75
  6. Step 6: Final answer
    x = 1,022,819.98

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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.