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Finding the Third Proportional to 501,307.63 and 1,082,515

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Solution

The third proportional to 501,307.63 and 1,082,515 is: 2,337,564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,307.63 : 1,082,515 = 1,082,515 : x
  2. Step 2: Convert to fraction form
    501,307.63/1,082,515 = 1,082,515/x
  3. Step 3: Cross multiply
    501,307.63x = 1,082,515 × 1,082,515
  4. Step 4: Simplify right side
    501,307.63x = 1,171,838,725,225
  5. Step 5: Solve for x
    x = 1,171,838,725,225/501,307.63
  6. Step 6: Final answer
    x = 2,337,564.14

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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.