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Finding the Third Proportional to 309,699 and 478,630.50

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Solution

The third proportional to 309,699 and 478,630.50 is: 739,709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,699 : 478,630.50 = 478,630.50 : x
  2. Step 2: Convert to fraction form
    309,699/478,630.50 = 478,630.50/x
  3. Step 3: Cross multiply
    309,699x = 478,630.50 × 478,630.50
  4. Step 4: Simplify right side
    309,699x = 229,087,155,530.25
  5. Step 5: Solve for x
    x = 229,087,155,530.25/309,699
  6. Step 6: Final answer
    x = 739,709.06

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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.