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Finding the Third Proportional to 426,268 and 625,576

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Solution

The third proportional to 426,268 and 625,576 is: 918,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,268 : 625,576 = 625,576 : x
  2. Step 2: Convert to fraction form
    426,268/625,576 = 625,576/x
  3. Step 3: Cross multiply
    426,268x = 625,576 × 625,576
  4. Step 4: Simplify right side
    426,268x = 391,345,331,776
  5. Step 5: Solve for x
    x = 391,345,331,776/426,268
  6. Step 6: Final answer
    x = 918,073.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.