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Finding the Third Proportional to 543,439.13 and 798,543.56

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Solution

The third proportional to 543,439.13 and 798,543.56 is: 1,173,400.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,439.13 : 798,543.56 = 798,543.56 : x
  2. Step 2: Convert to fraction form
    543,439.13/798,543.56 = 798,543.56/x
  3. Step 3: Cross multiply
    543,439.13x = 798,543.56 × 798,543.56
  4. Step 4: Simplify right side
    543,439.13x = 637,671,821,210.19
  5. Step 5: Solve for x
    x = 637,671,821,210.19/543,439.13
  6. Step 6: Final answer
    x = 1,173,400.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.