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Finding the Third Proportional to 289,476 and 610,056

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Solution

The third proportional to 289,476 and 610,056 is: 1,285,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,476 : 610,056 = 610,056 : x
  2. Step 2: Convert to fraction form
    289,476/610,056 = 610,056/x
  3. Step 3: Cross multiply
    289,476x = 610,056 × 610,056
  4. Step 4: Simplify right side
    289,476x = 372,168,323,136
  5. Step 5: Solve for x
    x = 372,168,323,136/289,476
  6. Step 6: Final answer
    x = 1,285,662.10

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.