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Finding the Third Proportional to 483,124 and 710,478

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Solution

The third proportional to 483,124 and 710,478 is: 1,044,822.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,124 : 710,478 = 710,478 : x
  2. Step 2: Convert to fraction form
    483,124/710,478 = 710,478/x
  3. Step 3: Cross multiply
    483,124x = 710,478 × 710,478
  4. Step 4: Simplify right side
    483,124x = 504,778,988,484
  5. Step 5: Solve for x
    x = 504,778,988,484/483,124
  6. Step 6: Final answer
    x = 1,044,822.84

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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.