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Finding the Third Proportional to 282,643.17 and 609,599.67

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Solution

The third proportional to 282,643.17 and 609,599.67 is: 1,314,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,643.17 : 609,599.67 = 609,599.67 : x
  2. Step 2: Convert to fraction form
    282,643.17/609,599.67 = 609,599.67/x
  3. Step 3: Cross multiply
    282,643.17x = 609,599.67 × 609,599.67
  4. Step 4: Simplify right side
    282,643.17x = 371,611,759,950.11
  5. Step 5: Solve for x
    x = 371,611,759,950.11/282,643.17
  6. Step 6: Final answer
    x = 1,314,773.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.