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Finding the Third Proportional to 286,389 and 437,116.50

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Solution

The third proportional to 286,389 and 437,116.50 is: 667,172.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,389 : 437,116.50 = 437,116.50 : x
  2. Step 2: Convert to fraction form
    286,389/437,116.50 = 437,116.50/x
  3. Step 3: Cross multiply
    286,389x = 437,116.50 × 437,116.50
  4. Step 4: Simplify right side
    286,389x = 191,070,834,572.25
  5. Step 5: Solve for x
    x = 191,070,834,572.25/286,389
  6. Step 6: Final answer
    x = 667,172.39

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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.