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Finding the Third Proportional to 416,526 and 609,001

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Solution

The third proportional to 416,526 and 609,001 is: 890,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,526 : 609,001 = 609,001 : x
  2. Step 2: Convert to fraction form
    416,526/609,001 = 609,001/x
  3. Step 3: Cross multiply
    416,526x = 609,001 × 609,001
  4. Step 4: Simplify right side
    416,526x = 370,882,218,001
  5. Step 5: Solve for x
    x = 370,882,218,001/416,526
  6. Step 6: Final answer
    x = 890,417.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.