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Finding the Third Proportional to 535,226 and 788,054

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Solution

The third proportional to 535,226 and 788,054 is: 1,160,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,226 : 788,054 = 788,054 : x
  2. Step 2: Convert to fraction form
    535,226/788,054 = 788,054/x
  3. Step 3: Cross multiply
    535,226x = 788,054 × 788,054
  4. Step 4: Simplify right side
    535,226x = 621,029,106,916
  5. Step 5: Solve for x
    x = 621,029,106,916/535,226
  6. Step 6: Final answer
    x = 1,160,311.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.