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Finding the Third Proportional to 589,501.50 and 889,854

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Solution

The third proportional to 589,501.50 and 889,854 is: 1,343,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,501.50 : 889,854 = 889,854 : x
  2. Step 2: Convert to fraction form
    589,501.50/889,854 = 889,854/x
  3. Step 3: Cross multiply
    589,501.50x = 889,854 × 889,854
  4. Step 4: Simplify right side
    589,501.50x = 791,840,141,316
  5. Step 5: Solve for x
    x = 791,840,141,316/589,501.50
  6. Step 6: Final answer
    x = 1,343,236.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.