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Finding the Third Proportional to 483,168 and 710,544

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Solution

The third proportional to 483,168 and 710,544 is: 1,044,921.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,168 : 710,544 = 710,544 : x
  2. Step 2: Convert to fraction form
    483,168/710,544 = 710,544/x
  3. Step 3: Cross multiply
    483,168x = 710,544 × 710,544
  4. Step 4: Simplify right side
    483,168x = 504,872,775,936
  5. Step 5: Solve for x
    x = 504,872,775,936/483,168
  6. Step 6: Final answer
    x = 1,044,921.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.