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Finding the Third Proportional to 550,506 and 804,516

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Solution

The third proportional to 550,506 and 804,516 is: 1,175,729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,506 : 804,516 = 804,516 : x
  2. Step 2: Convert to fraction form
    550,506/804,516 = 804,516/x
  3. Step 3: Cross multiply
    550,506x = 804,516 × 804,516
  4. Step 4: Simplify right side
    550,506x = 647,245,994,256
  5. Step 5: Solve for x
    x = 647,245,994,256/550,506
  6. Step 6: Final answer
    x = 1,175,729.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.