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Finding the Third Proportional to 483,126 and 710,481

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Solution

The third proportional to 483,126 and 710,481 is: 1,044,827.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,126 : 710,481 = 710,481 : x
  2. Step 2: Convert to fraction form
    483,126/710,481 = 710,481/x
  3. Step 3: Cross multiply
    483,126x = 710,481 × 710,481
  4. Step 4: Simplify right side
    483,126x = 504,783,251,361
  5. Step 5: Solve for x
    x = 504,783,251,361/483,126
  6. Step 6: Final answer
    x = 1,044,827.34

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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.