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Finding the Third Proportional to 387,216 and 833,768

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Solution

The third proportional to 387,216 and 833,768 is: 1,795,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,216 : 833,768 = 833,768 : x
  2. Step 2: Convert to fraction form
    387,216/833,768 = 833,768/x
  3. Step 3: Cross multiply
    387,216x = 833,768 × 833,768
  4. Step 4: Simplify right side
    387,216x = 695,169,077,824
  5. Step 5: Solve for x
    x = 695,169,077,824/387,216
  6. Step 6: Final answer
    x = 1,795,300.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.