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Finding the Third Proportional to 401,588 and 645,800

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Solution

The third proportional to 401,588 and 645,800 is: 1,038,521.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,588 : 645,800 = 645,800 : x
  2. Step 2: Convert to fraction form
    401,588/645,800 = 645,800/x
  3. Step 3: Cross multiply
    401,588x = 645,800 × 645,800
  4. Step 4: Simplify right side
    401,588x = 417,057,640,000
  5. Step 5: Solve for x
    x = 417,057,640,000/401,588
  6. Step 6: Final answer
    x = 1,038,521.17

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.