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Finding the Third Proportional to 355,232 and 500,300

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Solution

The third proportional to 355,232 and 500,300 is: 704,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,232 : 500,300 = 500,300 : x
  2. Step 2: Convert to fraction form
    355,232/500,300 = 500,300/x
  3. Step 3: Cross multiply
    355,232x = 500,300 × 500,300
  4. Step 4: Simplify right side
    355,232x = 250,300,090,000
  5. Step 5: Solve for x
    x = 250,300,090,000/355,232
  6. Step 6: Final answer
    x = 704,610.20

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.