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Finding the Third Proportional to 363,172 and 563,646

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Solution

The third proportional to 363,172 and 563,646 is: 874,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,172 : 563,646 = 563,646 : x
  2. Step 2: Convert to fraction form
    363,172/563,646 = 563,646/x
  3. Step 3: Cross multiply
    363,172x = 563,646 × 563,646
  4. Step 4: Simplify right side
    363,172x = 317,696,813,316
  5. Step 5: Solve for x
    x = 317,696,813,316/363,172
  6. Step 6: Final answer
    x = 874,783.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.