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Finding the Third Proportional to 553,168 and 854,316

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Solution

The third proportional to 553,168 and 854,316 is: 1,319,410.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,168 : 854,316 = 854,316 : x
  2. Step 2: Convert to fraction form
    553,168/854,316 = 854,316/x
  3. Step 3: Cross multiply
    553,168x = 854,316 × 854,316
  4. Step 4: Simplify right side
    553,168x = 729,855,827,856
  5. Step 5: Solve for x
    x = 729,855,827,856/553,168
  6. Step 6: Final answer
    x = 1,319,410.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.