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Finding the Third Proportional to 384,346 and 561,708

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Solution

The third proportional to 384,346 and 561,708 is: 820,916.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,346 : 561,708 = 561,708 : x
  2. Step 2: Convert to fraction form
    384,346/561,708 = 561,708/x
  3. Step 3: Cross multiply
    384,346x = 561,708 × 561,708
  4. Step 4: Simplify right side
    384,346x = 315,515,877,264
  5. Step 5: Solve for x
    x = 315,515,877,264/384,346
  6. Step 6: Final answer
    x = 820,916.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.