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Finding the Third Proportional to 484,461 and 693,476.44

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Solution

The third proportional to 484,461 and 693,476.44 is: 992,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,461 : 693,476.44 = 693,476.44 : x
  2. Step 2: Convert to fraction form
    484,461/693,476.44 = 693,476.44/x
  3. Step 3: Cross multiply
    484,461x = 693,476.44 × 693,476.44
  4. Step 4: Simplify right side
    484,461x = 480,909,569,367.69
  5. Step 5: Solve for x
    x = 480,909,569,367.69/484,461
  6. Step 6: Final answer
    x = 992,669.32

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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.