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Finding the Third Proportional to 476,670 and 743,130

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Solution

The third proportional to 476,670 and 743,130 is: 1,158,541.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,670 : 743,130 = 743,130 : x
  2. Step 2: Convert to fraction form
    476,670/743,130 = 743,130/x
  3. Step 3: Cross multiply
    476,670x = 743,130 × 743,130
  4. Step 4: Simplify right side
    476,670x = 552,242,196,900
  5. Step 5: Solve for x
    x = 552,242,196,900/476,670
  6. Step 6: Final answer
    x = 1,158,541.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.