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Finding the Third Proportional to 535,258 and 1,159,256

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Solution

The third proportional to 535,258 and 1,159,256 is: 2,510,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,258 : 1,159,256 = 1,159,256 : x
  2. Step 2: Convert to fraction form
    535,258/1,159,256 = 1,159,256/x
  3. Step 3: Cross multiply
    535,258x = 1,159,256 × 1,159,256
  4. Step 4: Simplify right side
    535,258x = 1,343,874,473,536
  5. Step 5: Solve for x
    x = 1,343,874,473,536/535,258
  6. Step 6: Final answer
    x = 2,510,704.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.