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Finding the Third Proportional to 526,054 and 744,356

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Solution

The third proportional to 526,054 and 744,356 is: 1,053,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,054 : 744,356 = 744,356 : x
  2. Step 2: Convert to fraction form
    526,054/744,356 = 744,356/x
  3. Step 3: Cross multiply
    526,054x = 744,356 × 744,356
  4. Step 4: Simplify right side
    526,054x = 554,065,854,736
  5. Step 5: Solve for x
    x = 554,065,854,736/526,054
  6. Step 6: Final answer
    x = 1,053,249.01

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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.