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Finding the Third Proportional to 266,066 and 578,060

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Solution

The third proportional to 266,066 and 578,060 is: 1,255,904.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,066 : 578,060 = 578,060 : x
  2. Step 2: Convert to fraction form
    266,066/578,060 = 578,060/x
  3. Step 3: Cross multiply
    266,066x = 578,060 × 578,060
  4. Step 4: Simplify right side
    266,066x = 334,153,363,600
  5. Step 5: Solve for x
    x = 334,153,363,600/266,066
  6. Step 6: Final answer
    x = 1,255,904.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.