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Finding the Third Proportional to 184,332 and 431,646

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Solution

The third proportional to 184,332 and 431,646 is: 1,010,775.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,332 : 431,646 = 431,646 : x
  2. Step 2: Convert to fraction form
    184,332/431,646 = 431,646/x
  3. Step 3: Cross multiply
    184,332x = 431,646 × 431,646
  4. Step 4: Simplify right side
    184,332x = 186,318,269,316
  5. Step 5: Solve for x
    x = 186,318,269,316/184,332
  6. Step 6: Final answer
    x = 1,010,775.50

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.