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Finding the Third Proportional to 291,145 and 617,283.50

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Solution

The third proportional to 291,145 and 617,283.50 is: 1,308,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,145 : 617,283.50 = 617,283.50 : x
  2. Step 2: Convert to fraction form
    291,145/617,283.50 = 617,283.50/x
  3. Step 3: Cross multiply
    291,145x = 617,283.50 × 617,283.50
  4. Step 4: Simplify right side
    291,145x = 381,038,919,372.25
  5. Step 5: Solve for x
    x = 381,038,919,372.25/291,145
  6. Step 6: Final answer
    x = 1,308,759.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.