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Finding the Third Proportional to 380,239.31 and 592,182.98

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Solution

The third proportional to 380,239.31 and 592,182.98 is: 922,263.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,239.31 : 592,182.98 = 592,182.98 : x
  2. Step 2: Convert to fraction form
    380,239.31/592,182.98 = 592,182.98/x
  3. Step 3: Cross multiply
    380,239.31x = 592,182.98 × 592,182.98
  4. Step 4: Simplify right side
    380,239.31x = 350,680,686,983.28
  5. Step 5: Solve for x
    x = 350,680,686,983.28/380,239.31
  6. Step 6: Final answer
    x = 922,263.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.