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Finding the Third Proportional to 528,894 and 794,495

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Solution

The third proportional to 528,894 and 794,495 is: 1,193,476.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,894 : 794,495 = 794,495 : x
  2. Step 2: Convert to fraction form
    528,894/794,495 = 794,495/x
  3. Step 3: Cross multiply
    528,894x = 794,495 × 794,495
  4. Step 4: Simplify right side
    528,894x = 631,222,305,025
  5. Step 5: Solve for x
    x = 631,222,305,025/528,894
  6. Step 6: Final answer
    x = 1,193,476.02

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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.