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Finding the Third Proportional to 707,532 and 997,932

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Solution

The third proportional to 707,532 and 997,932 is: 1,407,524.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,532 : 997,932 = 997,932 : x
  2. Step 2: Convert to fraction form
    707,532/997,932 = 997,932/x
  3. Step 3: Cross multiply
    707,532x = 997,932 × 997,932
  4. Step 4: Simplify right side
    707,532x = 995,868,276,624
  5. Step 5: Solve for x
    x = 995,868,276,624/707,532
  6. Step 6: Final answer
    x = 1,407,524.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.