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Finding the Third Proportional to 535,228 and 788,057

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Solution

The third proportional to 535,228 and 788,057 is: 1,160,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,228 : 788,057 = 788,057 : x
  2. Step 2: Convert to fraction form
    535,228/788,057 = 788,057/x
  3. Step 3: Cross multiply
    535,228x = 788,057 × 788,057
  4. Step 4: Simplify right side
    535,228x = 621,033,835,249
  5. Step 5: Solve for x
    x = 621,033,835,249/535,228
  6. Step 6: Final answer
    x = 1,160,316.42

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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.