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Finding the Third Proportional to 243,596 and 531,458

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Solution

The third proportional to 243,596 and 531,458 is: 1,159,491.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,596 : 531,458 = 531,458 : x
  2. Step 2: Convert to fraction form
    243,596/531,458 = 531,458/x
  3. Step 3: Cross multiply
    243,596x = 531,458 × 531,458
  4. Step 4: Simplify right side
    243,596x = 282,447,605,764
  5. Step 5: Solve for x
    x = 282,447,605,764/243,596
  6. Step 6: Final answer
    x = 1,159,491.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.