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Finding the Third Proportional to 534,743 and 778,036.50

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Solution

The third proportional to 534,743 and 778,036.50 is: 1,132,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,743 : 778,036.50 = 778,036.50 : x
  2. Step 2: Convert to fraction form
    534,743/778,036.50 = 778,036.50/x
  3. Step 3: Cross multiply
    534,743x = 778,036.50 × 778,036.50
  4. Step 4: Simplify right side
    534,743x = 605,340,795,332.25
  5. Step 5: Solve for x
    x = 605,340,795,332.25/534,743
  6. Step 6: Final answer
    x = 1,132,021.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.