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Finding the Third Proportional to 282,298.50 and 603,868.50

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Solution

The third proportional to 282,298.50 and 603,868.50 is: 1,291,743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,298.50 : 603,868.50 = 603,868.50 : x
  2. Step 2: Convert to fraction form
    282,298.50/603,868.50 = 603,868.50/x
  3. Step 3: Cross multiply
    282,298.50x = 603,868.50 × 603,868.50
  4. Step 4: Simplify right side
    282,298.50x = 364,657,165,292.25
  5. Step 5: Solve for x
    x = 364,657,165,292.25/282,298.50
  6. Step 6: Final answer
    x = 1,291,743.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.