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Finding the Third Proportional to 482,310 and 709,524

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Solution

The third proportional to 482,310 and 709,524 is: 1,043,777.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,310 : 709,524 = 709,524 : x
  2. Step 2: Convert to fraction form
    482,310/709,524 = 709,524/x
  3. Step 3: Cross multiply
    482,310x = 709,524 × 709,524
  4. Step 4: Simplify right side
    482,310x = 503,424,306,576
  5. Step 5: Solve for x
    x = 503,424,306,576/482,310
  6. Step 6: Final answer
    x = 1,043,777.46

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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.