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Finding the Third Proportional to 444,300 and 633,209

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Solution

The third proportional to 444,300 and 633,209 is: 902,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,300 : 633,209 = 633,209 : x
  2. Step 2: Convert to fraction form
    444,300/633,209 = 633,209/x
  3. Step 3: Cross multiply
    444,300x = 633,209 × 633,209
  4. Step 4: Simplify right side
    444,300x = 400,953,637,681
  5. Step 5: Solve for x
    x = 400,953,637,681/444,300
  6. Step 6: Final answer
    x = 902,438.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.