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Finding the Third Proportional to 211,541 and 464,938.50

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Solution

The third proportional to 211,541 and 464,938.50 is: 1,021,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,541 : 464,938.50 = 464,938.50 : x
  2. Step 2: Convert to fraction form
    211,541/464,938.50 = 464,938.50/x
  3. Step 3: Cross multiply
    211,541x = 464,938.50 × 464,938.50
  4. Step 4: Simplify right side
    211,541x = 216,167,808,782.25
  5. Step 5: Solve for x
    x = 216,167,808,782.25/211,541
  6. Step 6: Final answer
    x = 1,021,871.92

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Why These Related Problems?

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