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Finding the Third Proportional to 262,886.34 and 571,904.06

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Solution

The third proportional to 262,886.34 and 571,904.06 is: 1,244,166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,886.34 : 571,904.06 = 571,904.06 : x
  2. Step 2: Convert to fraction form
    262,886.34/571,904.06 = 571,904.06/x
  3. Step 3: Cross multiply
    262,886.34x = 571,904.06 × 571,904.06
  4. Step 4: Simplify right side
    262,886.34x = 327,074,256,704.00
  5. Step 5: Solve for x
    x = 327,074,256,704.00/262,886.34
  6. Step 6: Final answer
    x = 1,244,166.02

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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.