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Finding the Third Proportional to 483,122 and 710,475

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Solution

The third proportional to 483,122 and 710,475 is: 1,044,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,122 : 710,475 = 710,475 : x
  2. Step 2: Convert to fraction form
    483,122/710,475 = 710,475/x
  3. Step 3: Cross multiply
    483,122x = 710,475 × 710,475
  4. Step 4: Simplify right side
    483,122x = 504,774,725,625
  5. Step 5: Solve for x
    x = 504,774,725,625/483,122
  6. Step 6: Final answer
    x = 1,044,818.34

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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.