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Finding the Third Proportional to 341,712.84 and 543,088.13

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Solution

The third proportional to 341,712.84 and 543,088.13 is: 863,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,712.84 : 543,088.13 = 543,088.13 : x
  2. Step 2: Convert to fraction form
    341,712.84/543,088.13 = 543,088.13/x
  3. Step 3: Cross multiply
    341,712.84x = 543,088.13 × 543,088.13
  4. Step 4: Simplify right side
    341,712.84x = 294,944,711,516.02
  5. Step 5: Solve for x
    x = 294,944,711,516.02/341,712.84
  6. Step 6: Final answer
    x = 863,136.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.