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Finding the Third Proportional to 291,195 and 596,503.50

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Solution

The third proportional to 291,195 and 596,503.50 is: 1,221,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,195 : 596,503.50 = 596,503.50 : x
  2. Step 2: Convert to fraction form
    291,195/596,503.50 = 596,503.50/x
  3. Step 3: Cross multiply
    291,195x = 596,503.50 × 596,503.50
  4. Step 4: Simplify right side
    291,195x = 355,816,425,512.25
  5. Step 5: Solve for x
    x = 355,816,425,512.25/291,195
  6. Step 6: Final answer
    x = 1,221,918.05

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.