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Finding the Third Proportional to 350,295 and 543,514.50

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Solution

The third proportional to 350,295 and 543,514.50 is: 843,312.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,295 : 543,514.50 = 543,514.50 : x
  2. Step 2: Convert to fraction form
    350,295/543,514.50 = 543,514.50/x
  3. Step 3: Cross multiply
    350,295x = 543,514.50 × 543,514.50
  4. Step 4: Simplify right side
    350,295x = 295,408,011,710.25
  5. Step 5: Solve for x
    x = 295,408,011,710.25/350,295
  6. Step 6: Final answer
    x = 843,312.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.