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Finding the Third Proportional to 211,801.13 and 458,017.50

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Solution

The third proportional to 211,801.13 and 458,017.50 is: 990,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,801.13 : 458,017.50 = 458,017.50 : x
  2. Step 2: Convert to fraction form
    211,801.13/458,017.50 = 458,017.50/x
  3. Step 3: Cross multiply
    211,801.13x = 458,017.50 × 458,017.50
  4. Step 4: Simplify right side
    211,801.13x = 209,780,030,306.25
  5. Step 5: Solve for x
    x = 209,780,030,306.25/211,801.13
  6. Step 6: Final answer
    x = 990,457.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.