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Finding the Third Proportional to 284,102 and 473,446

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Solution

The third proportional to 284,102 and 473,446 is: 788,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,102 : 473,446 = 473,446 : x
  2. Step 2: Convert to fraction form
    284,102/473,446 = 473,446/x
  3. Step 3: Cross multiply
    284,102x = 473,446 × 473,446
  4. Step 4: Simplify right side
    284,102x = 224,151,114,916
  5. Step 5: Solve for x
    x = 224,151,114,916/284,102
  6. Step 6: Final answer
    x = 788,981.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.