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Finding the Third Proportional to 385,144 and 590,712

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Solution

The third proportional to 385,144 and 590,712 is: 906,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,144 : 590,712 = 590,712 : x
  2. Step 2: Convert to fraction form
    385,144/590,712 = 590,712/x
  3. Step 3: Cross multiply
    385,144x = 590,712 × 590,712
  4. Step 4: Simplify right side
    385,144x = 348,940,666,944
  5. Step 5: Solve for x
    x = 348,940,666,944/385,144
  6. Step 6: Final answer
    x = 906,000.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.