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Finding the Third Proportional to 260,014 and 560,476

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Solution

The third proportional to 260,014 and 560,476 is: 1,208,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,014 : 560,476 = 560,476 : x
  2. Step 2: Convert to fraction form
    260,014/560,476 = 560,476/x
  3. Step 3: Cross multiply
    260,014x = 560,476 × 560,476
  4. Step 4: Simplify right side
    260,014x = 314,133,346,576
  5. Step 5: Solve for x
    x = 314,133,346,576/260,014
  6. Step 6: Final answer
    x = 1,208,140.13

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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.