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Finding the Third Proportional to 435,699 and 664,969.50

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Solution

The third proportional to 435,699 and 664,969.50 is: 1,014,885.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,699 : 664,969.50 = 664,969.50 : x
  2. Step 2: Convert to fraction form
    435,699/664,969.50 = 664,969.50/x
  3. Step 3: Cross multiply
    435,699x = 664,969.50 × 664,969.50
  4. Step 4: Simplify right side
    435,699x = 442,184,435,930.25
  5. Step 5: Solve for x
    x = 442,184,435,930.25/435,699
  6. Step 6: Final answer
    x = 1,014,885.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.