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Finding the Third Proportional to 209,200.50 and 457,281

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Solution

The third proportional to 209,200.50 and 457,281 is: 999,547.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.50 : 457,281 = 457,281 : x
  2. Step 2: Convert to fraction form
    209,200.50/457,281 = 457,281/x
  3. Step 3: Cross multiply
    209,200.50x = 457,281 × 457,281
  4. Step 4: Simplify right side
    209,200.50x = 209,105,912,961
  5. Step 5: Solve for x
    x = 209,105,912,961/209,200.50
  6. Step 6: Final answer
    x = 999,547.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.