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Finding the Third Proportional to 355,800 and 549,414

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Solution

The third proportional to 355,800 and 549,414 is: 848,386.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,800 : 549,414 = 549,414 : x
  2. Step 2: Convert to fraction form
    355,800/549,414 = 549,414/x
  3. Step 3: Cross multiply
    355,800x = 549,414 × 549,414
  4. Step 4: Simplify right side
    355,800x = 301,855,743,396
  5. Step 5: Solve for x
    x = 301,855,743,396/355,800
  6. Step 6: Final answer
    x = 848,386.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.