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Finding the Third Proportional to 532,174.50 and 778,455

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Solution

The third proportional to 532,174.50 and 778,455 is: 1,138,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,174.50 : 778,455 = 778,455 : x
  2. Step 2: Convert to fraction form
    532,174.50/778,455 = 778,455/x
  3. Step 3: Cross multiply
    532,174.50x = 778,455 × 778,455
  4. Step 4: Simplify right side
    532,174.50x = 605,992,187,025
  5. Step 5: Solve for x
    x = 605,992,187,025/532,174.50
  6. Step 6: Final answer
    x = 1,138,709.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.