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Finding the Third Proportional to 184,547 and 402,446

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Solution

The third proportional to 184,547 and 402,446 is: 877,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,547 : 402,446 = 402,446 : x
  2. Step 2: Convert to fraction form
    184,547/402,446 = 402,446/x
  3. Step 3: Cross multiply
    184,547x = 402,446 × 402,446
  4. Step 4: Simplify right side
    184,547x = 161,962,782,916
  5. Step 5: Solve for x
    x = 161,962,782,916/184,547
  6. Step 6: Final answer
    x = 877,623.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.