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Finding the Third Proportional to 266,342 and 570,590

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Solution

The third proportional to 266,342 and 570,590 is: 1,222,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,342 : 570,590 = 570,590 : x
  2. Step 2: Convert to fraction form
    266,342/570,590 = 570,590/x
  3. Step 3: Cross multiply
    266,342x = 570,590 × 570,590
  4. Step 4: Simplify right side
    266,342x = 325,572,948,100
  5. Step 5: Solve for x
    x = 325,572,948,100/266,342
  6. Step 6: Final answer
    x = 1,222,386.81

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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.