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Finding the Third Proportional to 348,049 and 553,819

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Solution

The third proportional to 348,049 and 553,819 is: 881,242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,049 : 553,819 = 553,819 : x
  2. Step 2: Convert to fraction form
    348,049/553,819 = 553,819/x
  3. Step 3: Cross multiply
    348,049x = 553,819 × 553,819
  4. Step 4: Simplify right side
    348,049x = 306,715,484,761
  5. Step 5: Solve for x
    x = 306,715,484,761/348,049
  6. Step 6: Final answer
    x = 881,242.25

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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.