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Finding the Third Proportional to 346,176 and 523,008

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Solution

The third proportional to 346,176 and 523,008 is: 790,168.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,176 : 523,008 = 523,008 : x
  2. Step 2: Convert to fraction form
    346,176/523,008 = 523,008/x
  3. Step 3: Cross multiply
    346,176x = 523,008 × 523,008
  4. Step 4: Simplify right side
    346,176x = 273,537,368,064
  5. Step 5: Solve for x
    x = 273,537,368,064/346,176
  6. Step 6: Final answer
    x = 790,168.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.