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Finding the Third Proportional to 349,013 and 553,545

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Solution

The third proportional to 349,013 and 553,545 is: 877,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,013 : 553,545 = 553,545 : x
  2. Step 2: Convert to fraction form
    349,013/553,545 = 553,545/x
  3. Step 3: Cross multiply
    349,013x = 553,545 × 553,545
  4. Step 4: Simplify right side
    349,013x = 306,412,067,025
  5. Step 5: Solve for x
    x = 306,412,067,025/349,013
  6. Step 6: Final answer
    x = 877,938.84

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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.