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Finding the Third Proportional to 368,410 and 553,983

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Solution

The third proportional to 368,410 and 553,983 is: 833,031.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,410 : 553,983 = 553,983 : x
  2. Step 2: Convert to fraction form
    368,410/553,983 = 553,983/x
  3. Step 3: Cross multiply
    368,410x = 553,983 × 553,983
  4. Step 4: Simplify right side
    368,410x = 306,897,164,289
  5. Step 5: Solve for x
    x = 306,897,164,289/368,410
  6. Step 6: Final answer
    x = 833,031.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.