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Finding the Third Proportional to 296,040 and 651,129

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Solution

The third proportional to 296,040 and 651,129 is: 1,432,134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,040 : 651,129 = 651,129 : x
  2. Step 2: Convert to fraction form
    296,040/651,129 = 651,129/x
  3. Step 3: Cross multiply
    296,040x = 651,129 × 651,129
  4. Step 4: Simplify right side
    296,040x = 423,968,974,641
  5. Step 5: Solve for x
    x = 423,968,974,641/296,040
  6. Step 6: Final answer
    x = 1,432,134.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.