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Finding the Third Proportional to 400,748 and 842,995

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Solution

The third proportional to 400,748 and 842,995 is: 1,773,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,748 : 842,995 = 842,995 : x
  2. Step 2: Convert to fraction form
    400,748/842,995 = 842,995/x
  3. Step 3: Cross multiply
    400,748x = 842,995 × 842,995
  4. Step 4: Simplify right side
    400,748x = 710,640,570,025
  5. Step 5: Solve for x
    x = 710,640,570,025/400,748
  6. Step 6: Final answer
    x = 1,773,285.38

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.