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Finding the Third Proportional to 301,478 and 655,443.50

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Solution

The third proportional to 301,478 and 655,443.50 is: 1,425,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,478 : 655,443.50 = 655,443.50 : x
  2. Step 2: Convert to fraction form
    301,478/655,443.50 = 655,443.50/x
  3. Step 3: Cross multiply
    301,478x = 655,443.50 × 655,443.50
  4. Step 4: Simplify right side
    301,478x = 429,606,181,692.25
  5. Step 5: Solve for x
    x = 429,606,181,692.25/301,478
  6. Step 6: Final answer
    x = 1,425,000.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.