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Finding the Third Proportional to 386,564.91 and 830,341.13

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Solution

The third proportional to 386,564.91 and 830,341.13 is: 1,783,572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,564.91 : 830,341.13 = 830,341.13 : x
  2. Step 2: Convert to fraction form
    386,564.91/830,341.13 = 830,341.13/x
  3. Step 3: Cross multiply
    386,564.91x = 830,341.13 × 830,341.13
  4. Step 4: Simplify right side
    386,564.91x = 689,466,383,866.27
  5. Step 5: Solve for x
    x = 689,466,383,866.27/386,564.91
  6. Step 6: Final answer
    x = 1,783,572.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.