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Finding the Third Proportional to 266,088 and 569,072

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Solution

The third proportional to 266,088 and 569,072 is: 1,217,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,088 : 569,072 = 569,072 : x
  2. Step 2: Convert to fraction form
    266,088/569,072 = 569,072/x
  3. Step 3: Cross multiply
    266,088x = 569,072 × 569,072
  4. Step 4: Simplify right side
    266,088x = 323,842,941,184
  5. Step 5: Solve for x
    x = 323,842,941,184/266,088
  6. Step 6: Final answer
    x = 1,217,052.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.