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Finding the Third Proportional to 494,502 and 706,473

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Solution

The third proportional to 494,502 and 706,473 is: 1,009,306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,502 : 706,473 = 706,473 : x
  2. Step 2: Convert to fraction form
    494,502/706,473 = 706,473/x
  3. Step 3: Cross multiply
    494,502x = 706,473 × 706,473
  4. Step 4: Simplify right side
    494,502x = 499,104,099,729
  5. Step 5: Solve for x
    x = 499,104,099,729/494,502
  6. Step 6: Final answer
    x = 1,009,306.53

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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.