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Finding the Third Proportional to 602,138.81 and 880,598.25

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Solution

The third proportional to 602,138.81 and 880,598.25 is: 1,287,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,138.81 : 880,598.25 = 880,598.25 : x
  2. Step 2: Convert to fraction form
    602,138.81/880,598.25 = 880,598.25/x
  3. Step 3: Cross multiply
    602,138.81x = 880,598.25 × 880,598.25
  4. Step 4: Simplify right side
    602,138.81x = 775,453,277,903.06
  5. Step 5: Solve for x
    x = 775,453,277,903.06/602,138.81
  6. Step 6: Final answer
    x = 1,287,831.41

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Why These Related Problems?

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