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Finding the Third Proportional to 538,926 and 845,416.50

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Solution

The third proportional to 538,926 and 845,416.50 is: 1,326,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,926 : 845,416.50 = 845,416.50 : x
  2. Step 2: Convert to fraction form
    538,926/845,416.50 = 845,416.50/x
  3. Step 3: Cross multiply
    538,926x = 845,416.50 × 845,416.50
  4. Step 4: Simplify right side
    538,926x = 714,729,058,472.25
  5. Step 5: Solve for x
    x = 714,729,058,472.25/538,926
  6. Step 6: Final answer
    x = 1,326,210.01

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.