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Finding the Third Proportional to 190,534 and 407,312

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Solution

The third proportional to 190,534 and 407,312 is: 870,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,534 : 407,312 = 407,312 : x
  2. Step 2: Convert to fraction form
    190,534/407,312 = 407,312/x
  3. Step 3: Cross multiply
    190,534x = 407,312 × 407,312
  4. Step 4: Simplify right side
    190,534x = 165,903,065,344
  5. Step 5: Solve for x
    x = 165,903,065,344/190,534
  6. Step 6: Final answer
    x = 870,726.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.