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Finding the Third Proportional to 467,136 and 722,484

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Solution

The third proportional to 467,136 and 722,484 is: 1,117,411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,136 : 722,484 = 722,484 : x
  2. Step 2: Convert to fraction form
    467,136/722,484 = 722,484/x
  3. Step 3: Cross multiply
    467,136x = 722,484 × 722,484
  4. Step 4: Simplify right side
    467,136x = 521,983,130,256
  5. Step 5: Solve for x
    x = 521,983,130,256/467,136
  6. Step 6: Final answer
    x = 1,117,411.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.