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Finding the Third Proportional to 346,972.50 and 517,579.50

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Solution

The third proportional to 346,972.50 and 517,579.50 is: 772,074.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,972.50 : 517,579.50 = 517,579.50 : x
  2. Step 2: Convert to fraction form
    346,972.50/517,579.50 = 517,579.50/x
  3. Step 3: Cross multiply
    346,972.50x = 517,579.50 × 517,579.50
  4. Step 4: Simplify right side
    346,972.50x = 267,888,538,820.25
  5. Step 5: Solve for x
    x = 267,888,538,820.25/346,972.50
  6. Step 6: Final answer
    x = 772,074.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.