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Finding the Third Proportional to 528,154 and 794,764

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Solution

The third proportional to 528,154 and 794,764 is: 1,195,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,154 : 794,764 = 794,764 : x
  2. Step 2: Convert to fraction form
    528,154/794,764 = 794,764/x
  3. Step 3: Cross multiply
    528,154x = 794,764 × 794,764
  4. Step 4: Simplify right side
    528,154x = 631,649,815,696
  5. Step 5: Solve for x
    x = 631,649,815,696/528,154
  6. Step 6: Final answer
    x = 1,195,957.65

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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.