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Finding the Third Proportional to 212,572 and 325,554

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Solution

The third proportional to 212,572 and 325,554 is: 498,585.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,572 : 325,554 = 325,554 : x
  2. Step 2: Convert to fraction form
    212,572/325,554 = 325,554/x
  3. Step 3: Cross multiply
    212,572x = 325,554 × 325,554
  4. Step 4: Simplify right side
    212,572x = 105,985,406,916
  5. Step 5: Solve for x
    x = 105,985,406,916/212,572
  6. Step 6: Final answer
    x = 498,585.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.