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Finding the Third Proportional to 266,066 and 544,562

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Solution

The third proportional to 266,066 and 544,562 is: 1,114,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,066 : 544,562 = 544,562 : x
  2. Step 2: Convert to fraction form
    266,066/544,562 = 544,562/x
  3. Step 3: Cross multiply
    266,066x = 544,562 × 544,562
  4. Step 4: Simplify right side
    266,066x = 296,547,771,844
  5. Step 5: Solve for x
    x = 296,547,771,844/266,066
  6. Step 6: Final answer
    x = 1,114,564.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.