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Finding the Third Proportional to 364,262 and 542,656

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Solution

The third proportional to 364,262 and 542,656 is: 808,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,262 : 542,656 = 542,656 : x
  2. Step 2: Convert to fraction form
    364,262/542,656 = 542,656/x
  3. Step 3: Cross multiply
    364,262x = 542,656 × 542,656
  4. Step 4: Simplify right side
    364,262x = 294,475,534,336
  5. Step 5: Solve for x
    x = 294,475,534,336/364,262
  6. Step 6: Final answer
    x = 808,416.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.