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Finding the Third Proportional to 320,160 and 463,710

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Solution

The third proportional to 320,160 and 463,710 is: 671,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,160 : 463,710 = 463,710 : x
  2. Step 2: Convert to fraction form
    320,160/463,710 = 463,710/x
  3. Step 3: Cross multiply
    320,160x = 463,710 × 463,710
  4. Step 4: Simplify right side
    320,160x = 215,026,964,100
  5. Step 5: Solve for x
    x = 215,026,964,100/320,160
  6. Step 6: Final answer
    x = 671,623.45

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.