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Finding the Third Proportional to 574,457 and 804,996

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Solution

The third proportional to 574,457 and 804,996 is: 1,128,054.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,457 : 804,996 = 804,996 : x
  2. Step 2: Convert to fraction form
    574,457/804,996 = 804,996/x
  3. Step 3: Cross multiply
    574,457x = 804,996 × 804,996
  4. Step 4: Simplify right side
    574,457x = 648,018,560,016
  5. Step 5: Solve for x
    x = 648,018,560,016/574,457
  6. Step 6: Final answer
    x = 1,128,054.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.