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Finding the Third Proportional to 322,214.50 and 473,453

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Solution

The third proportional to 322,214.50 and 473,453 is: 695,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,214.50 : 473,453 = 473,453 : x
  2. Step 2: Convert to fraction form
    322,214.50/473,453 = 473,453/x
  3. Step 3: Cross multiply
    322,214.50x = 473,453 × 473,453
  4. Step 4: Simplify right side
    322,214.50x = 224,157,743,209
  5. Step 5: Solve for x
    x = 224,157,743,209/322,214.50
  6. Step 6: Final answer
    x = 695,678.63

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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.