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Finding the Third Proportional to 384,316 and 577,704

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Solution

The third proportional to 384,316 and 577,704 is: 868,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,316 : 577,704 = 577,704 : x
  2. Step 2: Convert to fraction form
    384,316/577,704 = 577,704/x
  3. Step 3: Cross multiply
    384,316x = 577,704 × 577,704
  4. Step 4: Simplify right side
    384,316x = 333,741,911,616
  5. Step 5: Solve for x
    x = 333,741,911,616/384,316
  6. Step 6: Final answer
    x = 868,404.94

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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.