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Finding the Third Proportional to 384,139.13 and 841,455

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Solution

The third proportional to 384,139.13 and 841,455 is: 1,843,203.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,139.13 : 841,455 = 841,455 : x
  2. Step 2: Convert to fraction form
    384,139.13/841,455 = 841,455/x
  3. Step 3: Cross multiply
    384,139.13x = 841,455 × 841,455
  4. Step 4: Simplify right side
    384,139.13x = 708,046,517,025
  5. Step 5: Solve for x
    x = 708,046,517,025/384,139.13
  6. Step 6: Final answer
    x = 1,843,203.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.