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Finding the Third Proportional to 526,896 and 794,988

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Solution

The third proportional to 526,896 and 794,988 is: 1,199,488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,896 : 794,988 = 794,988 : x
  2. Step 2: Convert to fraction form
    526,896/794,988 = 794,988/x
  3. Step 3: Cross multiply
    526,896x = 794,988 × 794,988
  4. Step 4: Simplify right side
    526,896x = 632,005,920,144
  5. Step 5: Solve for x
    x = 632,005,920,144/526,896
  6. Step 6: Final answer
    x = 1,199,488.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.