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Finding the Third Proportional to 323,127 and 452,803

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Solution

The third proportional to 323,127 and 452,803 is: 634,520.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,127 : 452,803 = 452,803 : x
  2. Step 2: Convert to fraction form
    323,127/452,803 = 452,803/x
  3. Step 3: Cross multiply
    323,127x = 452,803 × 452,803
  4. Step 4: Simplify right side
    323,127x = 205,030,556,809
  5. Step 5: Solve for x
    x = 205,030,556,809/323,127
  6. Step 6: Final answer
    x = 634,520.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.