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Finding the Third Proportional to 543,409.50 and 798,486

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Solution

The third proportional to 543,409.50 and 798,486 is: 1,173,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,409.50 : 798,486 = 798,486 : x
  2. Step 2: Convert to fraction form
    543,409.50/798,486 = 798,486/x
  3. Step 3: Cross multiply
    543,409.50x = 798,486 × 798,486
  4. Step 4: Simplify right side
    543,409.50x = 637,579,892,196
  5. Step 5: Solve for x
    x = 637,579,892,196/543,409.50
  6. Step 6: Final answer
    x = 1,173,295.45

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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.