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Finding the Third Proportional to 598,851 and 875,983.50

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Solution

The third proportional to 598,851 and 875,983.50 is: 1,281,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,851 : 875,983.50 = 875,983.50 : x
  2. Step 2: Convert to fraction form
    598,851/875,983.50 = 875,983.50/x
  3. Step 3: Cross multiply
    598,851x = 875,983.50 × 875,983.50
  4. Step 4: Simplify right side
    598,851x = 767,347,092,272.25
  5. Step 5: Solve for x
    x = 767,347,092,272.25/598,851
  6. Step 6: Final answer
    x = 1,281,365.64

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