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Finding the Third Proportional to 266,547 and 563,022

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Solution

The third proportional to 266,547 and 563,022 is: 1,189,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,547 : 563,022 = 563,022 : x
  2. Step 2: Convert to fraction form
    266,547/563,022 = 563,022/x
  3. Step 3: Cross multiply
    266,547x = 563,022 × 563,022
  4. Step 4: Simplify right side
    266,547x = 316,993,772,484
  5. Step 5: Solve for x
    x = 316,993,772,484/266,547
  6. Step 6: Final answer
    x = 1,189,260.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.