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Finding the Third Proportional to 598,130.62 and 919,368.13

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Solution

The third proportional to 598,130.62 and 919,368.13 is: 1,413,132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,130.62 : 919,368.13 = 919,368.13 : x
  2. Step 2: Convert to fraction form
    598,130.62/919,368.13 = 919,368.13/x
  3. Step 3: Cross multiply
    598,130.62x = 919,368.13 × 919,368.13
  4. Step 4: Simplify right side
    598,130.62x = 845,237,765,875.73
  5. Step 5: Solve for x
    x = 845,237,765,875.73/598,130.62
  6. Step 6: Final answer
    x = 1,413,132.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.