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Finding the Third Proportional to 293,316 and 563,304

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Solution

The third proportional to 293,316 and 563,304 is: 1,081,807.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,316 : 563,304 = 563,304 : x
  2. Step 2: Convert to fraction form
    293,316/563,304 = 563,304/x
  3. Step 3: Cross multiply
    293,316x = 563,304 × 563,304
  4. Step 4: Simplify right side
    293,316x = 317,311,396,416
  5. Step 5: Solve for x
    x = 317,311,396,416/293,316
  6. Step 6: Final answer
    x = 1,081,807.32

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.