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Finding the Third Proportional to 350,924 and 524,048

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Solution

The third proportional to 350,924 and 524,048 is: 782,580.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,924 : 524,048 = 524,048 : x
  2. Step 2: Convert to fraction form
    350,924/524,048 = 524,048/x
  3. Step 3: Cross multiply
    350,924x = 524,048 × 524,048
  4. Step 4: Simplify right side
    350,924x = 274,626,306,304
  5. Step 5: Solve for x
    x = 274,626,306,304/350,924
  6. Step 6: Final answer
    x = 782,580.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.