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Finding the Third Proportional to 528,085 and 794,586

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Solution

The third proportional to 528,085 and 794,586 is: 1,195,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,085 : 794,586 = 794,586 : x
  2. Step 2: Convert to fraction form
    528,085/794,586 = 794,586/x
  3. Step 3: Cross multiply
    528,085x = 794,586 × 794,586
  4. Step 4: Simplify right side
    528,085x = 631,366,911,396
  5. Step 5: Solve for x
    x = 631,366,911,396/528,085
  6. Step 6: Final answer
    x = 1,195,578.20

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Why These Related Problems?

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