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Finding the Third Proportional to 493,543.13 and 1,076,328

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Solution

The third proportional to 493,543.13 and 1,076,328 is: 2,347,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,543.13 : 1,076,328 = 1,076,328 : x
  2. Step 2: Convert to fraction form
    493,543.13/1,076,328 = 1,076,328/x
  3. Step 3: Cross multiply
    493,543.13x = 1,076,328 × 1,076,328
  4. Step 4: Simplify right side
    493,543.13x = 1,158,481,963,584
  5. Step 5: Solve for x
    x = 1,158,481,963,584/493,543.13
  6. Step 6: Final answer
    x = 2,347,276.06

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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.