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Finding the Third Proportional to 541,258 and 824,654

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Solution

The third proportional to 541,258 and 824,654 is: 1,256,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,258 : 824,654 = 824,654 : x
  2. Step 2: Convert to fraction form
    541,258/824,654 = 824,654/x
  3. Step 3: Cross multiply
    541,258x = 824,654 × 824,654
  4. Step 4: Simplify right side
    541,258x = 680,054,219,716
  5. Step 5: Solve for x
    x = 680,054,219,716/541,258
  6. Step 6: Final answer
    x = 1,256,432.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.