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Finding the Third Proportional to 355,677.75 and 542,548.13

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Solution

The third proportional to 355,677.75 and 542,548.13 is: 827,598.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,677.75 : 542,548.13 = 542,548.13 : x
  2. Step 2: Convert to fraction form
    355,677.75/542,548.13 = 542,548.13/x
  3. Step 3: Cross multiply
    355,677.75x = 542,548.13 × 542,548.13
  4. Step 4: Simplify right side
    355,677.75x = 294,358,467,941.02
  5. Step 5: Solve for x
    x = 294,358,467,941.02/355,677.75
  6. Step 6: Final answer
    x = 827,598.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.