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Finding the Third Proportional to 589,768.50 and 889,527

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Solution

The third proportional to 589,768.50 and 889,527 is: 1,341,642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,768.50 : 889,527 = 889,527 : x
  2. Step 2: Convert to fraction form
    589,768.50/889,527 = 889,527/x
  3. Step 3: Cross multiply
    589,768.50x = 889,527 × 889,527
  4. Step 4: Simplify right side
    589,768.50x = 791,258,283,729
  5. Step 5: Solve for x
    x = 791,258,283,729/589,768.50
  6. Step 6: Final answer
    x = 1,341,642.16

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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.