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Finding the Third Proportional to 288,576 and 626,440

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Solution

The third proportional to 288,576 and 626,440 is: 1,359,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,576 : 626,440 = 626,440 : x
  2. Step 2: Convert to fraction form
    288,576/626,440 = 626,440/x
  3. Step 3: Cross multiply
    288,576x = 626,440 × 626,440
  4. Step 4: Simplify right side
    288,576x = 392,427,073,600
  5. Step 5: Solve for x
    x = 392,427,073,600/288,576
  6. Step 6: Final answer
    x = 1,359,874.26

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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.