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Finding the Third Proportional to 211,725 and 464,922

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Solution

The third proportional to 211,725 and 464,922 is: 1,020,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,725 : 464,922 = 464,922 : x
  2. Step 2: Convert to fraction form
    211,725/464,922 = 464,922/x
  3. Step 3: Cross multiply
    211,725x = 464,922 × 464,922
  4. Step 4: Simplify right side
    211,725x = 216,152,466,084
  5. Step 5: Solve for x
    x = 216,152,466,084/211,725
  6. Step 6: Final answer
    x = 1,020,911.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.