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Finding the Third Proportional to 528,896 and 794,498

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Solution

The third proportional to 528,896 and 794,498 is: 1,193,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,896 : 794,498 = 794,498 : x
  2. Step 2: Convert to fraction form
    528,896/794,498 = 794,498/x
  3. Step 3: Cross multiply
    528,896x = 794,498 × 794,498
  4. Step 4: Simplify right side
    528,896x = 631,227,072,004
  5. Step 5: Solve for x
    x = 631,227,072,004/528,896
  6. Step 6: Final answer
    x = 1,193,480.52

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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.