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Finding the Third Proportional to 343,460.25 and 744,124.50

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Solution

The third proportional to 343,460.25 and 744,124.50 is: 1,612,184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,460.25 : 744,124.50 = 744,124.50 : x
  2. Step 2: Convert to fraction form
    343,460.25/744,124.50 = 744,124.50/x
  3. Step 3: Cross multiply
    343,460.25x = 744,124.50 × 744,124.50
  4. Step 4: Simplify right side
    343,460.25x = 553,721,271,500.25
  5. Step 5: Solve for x
    x = 553,721,271,500.25/343,460.25
  6. Step 6: Final answer
    x = 1,612,184.44

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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.