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Finding the Third Proportional to 355,730 and 542,631

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Solution

The third proportional to 355,730 and 542,631 is: 827,730.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,730 : 542,631 = 542,631 : x
  2. Step 2: Convert to fraction form
    355,730/542,631 = 542,631/x
  3. Step 3: Cross multiply
    355,730x = 542,631 × 542,631
  4. Step 4: Simplify right side
    355,730x = 294,448,402,161
  5. Step 5: Solve for x
    x = 294,448,402,161/355,730
  6. Step 6: Final answer
    x = 827,730.03

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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.