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Finding the Third Proportional to 525,290 and 814,935

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Solution

The third proportional to 525,290 and 814,935 is: 1,264,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,290 : 814,935 = 814,935 : x
  2. Step 2: Convert to fraction form
    525,290/814,935 = 814,935/x
  3. Step 3: Cross multiply
    525,290x = 814,935 × 814,935
  4. Step 4: Simplify right side
    525,290x = 664,119,054,225
  5. Step 5: Solve for x
    x = 664,119,054,225/525,290
  6. Step 6: Final answer
    x = 1,264,290.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.