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Finding the Third Proportional to 341,912 and 744,026.50

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Solution

The third proportional to 341,912 and 744,026.50 is: 1,619,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,912 : 744,026.50 = 744,026.50 : x
  2. Step 2: Convert to fraction form
    341,912/744,026.50 = 744,026.50/x
  3. Step 3: Cross multiply
    341,912x = 744,026.50 × 744,026.50
  4. Step 4: Simplify right side
    341,912x = 553,575,432,702.25
  5. Step 5: Solve for x
    x = 553,575,432,702.25/341,912
  6. Step 6: Final answer
    x = 1,619,058.22

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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.