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Finding the Third Proportional to 473,522 and 703,083

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Solution

The third proportional to 473,522 and 703,083 is: 1,043,933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,522 : 703,083 = 703,083 : x
  2. Step 2: Convert to fraction form
    473,522/703,083 = 703,083/x
  3. Step 3: Cross multiply
    473,522x = 703,083 × 703,083
  4. Step 4: Simplify right side
    473,522x = 494,325,704,889
  5. Step 5: Solve for x
    x = 494,325,704,889/473,522
  6. Step 6: Final answer
    x = 1,043,933.98

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.