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Finding the Third Proportional to 381,746.13 and 590,554.50

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Solution

The third proportional to 381,746.13 and 590,554.50 is: 913,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,746.13 : 590,554.50 = 590,554.50 : x
  2. Step 2: Convert to fraction form
    381,746.13/590,554.50 = 590,554.50/x
  3. Step 3: Cross multiply
    381,746.13x = 590,554.50 × 590,554.50
  4. Step 4: Simplify right side
    381,746.13x = 348,754,617,470.25
  5. Step 5: Solve for x
    x = 348,754,617,470.25/381,746.13
  6. Step 6: Final answer
    x = 913,577.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.