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Finding the Third Proportional to 321,546 and 473,025

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Solution

The third proportional to 321,546 and 473,025 is: 695,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,546 : 473,025 = 473,025 : x
  2. Step 2: Convert to fraction form
    321,546/473,025 = 473,025/x
  3. Step 3: Cross multiply
    321,546x = 473,025 × 473,025
  4. Step 4: Simplify right side
    321,546x = 223,752,650,625
  5. Step 5: Solve for x
    x = 223,752,650,625/321,546
  6. Step 6: Final answer
    x = 695,865.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.