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Finding the Third Proportional to 535,232 and 788,063

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Solution

The third proportional to 535,232 and 788,063 is: 1,160,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,232 : 788,063 = 788,063 : x
  2. Step 2: Convert to fraction form
    535,232/788,063 = 788,063/x
  3. Step 3: Cross multiply
    535,232x = 788,063 × 788,063
  4. Step 4: Simplify right side
    535,232x = 621,043,291,969
  5. Step 5: Solve for x
    x = 621,043,291,969/535,232
  6. Step 6: Final answer
    x = 1,160,325.41

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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.