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Finding the Third Proportional to 482,148 and 920,538

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Solution

The third proportional to 482,148 and 920,538 is: 1,757,531.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,148 : 920,538 = 920,538 : x
  2. Step 2: Convert to fraction form
    482,148/920,538 = 920,538/x
  3. Step 3: Cross multiply
    482,148x = 920,538 × 920,538
  4. Step 4: Simplify right side
    482,148x = 847,390,209,444
  5. Step 5: Solve for x
    x = 847,390,209,444/482,148
  6. Step 6: Final answer
    x = 1,757,531.32

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.