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Finding the Third Proportional to 398,796 and 875,110.50

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Solution

The third proportional to 398,796 and 875,110.50 is: 1,920,326.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,796 : 875,110.50 = 875,110.50 : x
  2. Step 2: Convert to fraction form
    398,796/875,110.50 = 875,110.50/x
  3. Step 3: Cross multiply
    398,796x = 875,110.50 × 875,110.50
  4. Step 4: Simplify right side
    398,796x = 765,818,387,210.25
  5. Step 5: Solve for x
    x = 765,818,387,210.25/398,796
  6. Step 6: Final answer
    x = 1,920,326.15

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.