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Finding the Third Proportional to 520,092 and 778,032

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Solution

The third proportional to 520,092 and 778,032 is: 1,163,897.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,092 : 778,032 = 778,032 : x
  2. Step 2: Convert to fraction form
    520,092/778,032 = 778,032/x
  3. Step 3: Cross multiply
    520,092x = 778,032 × 778,032
  4. Step 4: Simplify right side
    520,092x = 605,333,793,024
  5. Step 5: Solve for x
    x = 605,333,793,024/520,092
  6. Step 6: Final answer
    x = 1,163,897.53

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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.