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Finding the Third Proportional to 355,788 and 549,396

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Solution

The third proportional to 355,788 and 549,396 is: 848,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,788 : 549,396 = 549,396 : x
  2. Step 2: Convert to fraction form
    355,788/549,396 = 549,396/x
  3. Step 3: Cross multiply
    355,788x = 549,396 × 549,396
  4. Step 4: Simplify right side
    355,788x = 301,835,964,816
  5. Step 5: Solve for x
    x = 301,835,964,816/355,788
  6. Step 6: Final answer
    x = 848,359.04

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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.