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Finding the Third Proportional to 343,876.50 and 747,045

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Solution

The third proportional to 343,876.50 and 747,045 is: 1,622,897.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,876.50 : 747,045 = 747,045 : x
  2. Step 2: Convert to fraction form
    343,876.50/747,045 = 747,045/x
  3. Step 3: Cross multiply
    343,876.50x = 747,045 × 747,045
  4. Step 4: Simplify right side
    343,876.50x = 558,076,232,025
  5. Step 5: Solve for x
    x = 558,076,232,025/343,876.50
  6. Step 6: Final answer
    x = 1,622,897.27

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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.