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Finding the Third Proportional to 372,305 and 556,953

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Solution

The third proportional to 372,305 and 556,953 is: 833,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,305 : 556,953 = 556,953 : x
  2. Step 2: Convert to fraction form
    372,305/556,953 = 556,953/x
  3. Step 3: Cross multiply
    372,305x = 556,953 × 556,953
  4. Step 4: Simplify right side
    372,305x = 310,196,644,209
  5. Step 5: Solve for x
    x = 310,196,644,209/372,305
  6. Step 6: Final answer
    x = 833,178.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.