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Finding the Third Proportional to 401,572 and 621,798

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Solution

The third proportional to 401,572 and 621,798 is: 962,798.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,572 : 621,798 = 621,798 : x
  2. Step 2: Convert to fraction form
    401,572/621,798 = 621,798/x
  3. Step 3: Cross multiply
    401,572x = 621,798 × 621,798
  4. Step 4: Simplify right side
    401,572x = 386,632,752,804
  5. Step 5: Solve for x
    x = 386,632,752,804/401,572
  6. Step 6: Final answer
    x = 962,798.09

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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.