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Finding the Third Proportional to 386,376 and 841,399.50

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Solution

The third proportional to 386,376 and 841,399.50 is: 1,832,290.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,376 : 841,399.50 = 841,399.50 : x
  2. Step 2: Convert to fraction form
    386,376/841,399.50 = 841,399.50/x
  3. Step 3: Cross multiply
    386,376x = 841,399.50 × 841,399.50
  4. Step 4: Simplify right side
    386,376x = 707,953,118,600.25
  5. Step 5: Solve for x
    x = 707,953,118,600.25/386,376
  6. Step 6: Final answer
    x = 1,832,290.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.