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Finding the Third Proportional to 274,569 and 596,365

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Solution

The third proportional to 274,569 and 596,365 is: 1,295,307.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,569 : 596,365 = 596,365 : x
  2. Step 2: Convert to fraction form
    274,569/596,365 = 596,365/x
  3. Step 3: Cross multiply
    274,569x = 596,365 × 596,365
  4. Step 4: Simplify right side
    274,569x = 355,651,213,225
  5. Step 5: Solve for x
    x = 355,651,213,225/274,569
  6. Step 6: Final answer
    x = 1,295,307.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.