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Finding the Third Proportional to 309,050.44 and 651,862.69

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Solution

The third proportional to 309,050.44 and 651,862.69 is: 1,374,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,050.44 : 651,862.69 = 651,862.69 : x
  2. Step 2: Convert to fraction form
    309,050.44/651,862.69 = 651,862.69/x
  3. Step 3: Cross multiply
    309,050.44x = 651,862.69 × 651,862.69
  4. Step 4: Simplify right side
    309,050.44x = 424,924,963,354.72
  5. Step 5: Solve for x
    x = 424,924,963,354.72/309,050.44
  6. Step 6: Final answer
    x = 1,374,937.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.