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Finding the Third Proportional to 349,524 and 554,316

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Solution

The third proportional to 349,524 and 554,316 is: 879,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,524 : 554,316 = 554,316 : x
  2. Step 2: Convert to fraction form
    349,524/554,316 = 554,316/x
  3. Step 3: Cross multiply
    349,524x = 554,316 × 554,316
  4. Step 4: Simplify right side
    349,524x = 307,266,227,856
  5. Step 5: Solve for x
    x = 307,266,227,856/349,524
  6. Step 6: Final answer
    x = 879,099.08

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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.