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Finding the Third Proportional to 266,064 and 569,024

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Solution

The third proportional to 266,064 and 569,024 is: 1,216,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,064 : 569,024 = 569,024 : x
  2. Step 2: Convert to fraction form
    266,064/569,024 = 569,024/x
  3. Step 3: Cross multiply
    266,064x = 569,024 × 569,024
  4. Step 4: Simplify right side
    266,064x = 323,788,312,576
  5. Step 5: Solve for x
    x = 323,788,312,576/266,064
  6. Step 6: Final answer
    x = 1,216,956.49

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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.