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Finding the Third Proportional to 209,573.58 and 466,573.08

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Solution

The third proportional to 209,573.58 and 466,573.08 is: 1,038,730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,573.58 : 466,573.08 = 466,573.08 : x
  2. Step 2: Convert to fraction form
    209,573.58/466,573.08 = 466,573.08/x
  3. Step 3: Cross multiply
    209,573.58x = 466,573.08 × 466,573.08
  4. Step 4: Simplify right side
    209,573.58x = 217,690,437,231.04
  5. Step 5: Solve for x
    x = 217,690,437,231.04/209,573.58
  6. Step 6: Final answer
    x = 1,038,730.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.