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Finding the Third Proportional to 321,960 and 473,061

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Solution

The third proportional to 321,960 and 473,061 is: 695,076.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,960 : 473,061 = 473,061 : x
  2. Step 2: Convert to fraction form
    321,960/473,061 = 473,061/x
  3. Step 3: Cross multiply
    321,960x = 473,061 × 473,061
  4. Step 4: Simplify right side
    321,960x = 223,786,709,721
  5. Step 5: Solve for x
    x = 223,786,709,721/321,960
  6. Step 6: Final answer
    x = 695,076.13

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