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Finding the Third Proportional to 405,296 and 592,310

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Solution

The third proportional to 405,296 and 592,310 is: 865,617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,296 : 592,310 = 592,310 : x
  2. Step 2: Convert to fraction form
    405,296/592,310 = 592,310/x
  3. Step 3: Cross multiply
    405,296x = 592,310 × 592,310
  4. Step 4: Simplify right side
    405,296x = 350,831,136,100
  5. Step 5: Solve for x
    x = 350,831,136,100/405,296
  6. Step 6: Final answer
    x = 865,617.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.