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Finding the Third Proportional to 380,360 and 592,349.50

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Solution

The third proportional to 380,360 and 592,349.50 is: 922,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,360 : 592,349.50 = 592,349.50 : x
  2. Step 2: Convert to fraction form
    380,360/592,349.50 = 592,349.50/x
  3. Step 3: Cross multiply
    380,360x = 592,349.50 × 592,349.50
  4. Step 4: Simplify right side
    380,360x = 350,877,930,150.25
  5. Step 5: Solve for x
    x = 350,877,930,150.25/380,360
  6. Step 6: Final answer
    x = 922,489.04

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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.