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Finding the Third Proportional to 528,824 and 794,397

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Solution

The third proportional to 528,824 and 794,397 is: 1,193,339.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,824 : 794,397 = 794,397 : x
  2. Step 2: Convert to fraction form
    528,824/794,397 = 794,397/x
  3. Step 3: Cross multiply
    528,824x = 794,397 × 794,397
  4. Step 4: Simplify right side
    528,824x = 631,066,593,609
  5. Step 5: Solve for x
    x = 631,066,593,609/528,824
  6. Step 6: Final answer
    x = 1,193,339.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.