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Finding the Third Proportional to 266,526 and 577,340

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Solution

The third proportional to 266,526 and 577,340 is: 1,250,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,526 : 577,340 = 577,340 : x
  2. Step 2: Convert to fraction form
    266,526/577,340 = 577,340/x
  3. Step 3: Cross multiply
    266,526x = 577,340 × 577,340
  4. Step 4: Simplify right side
    266,526x = 333,321,475,600
  5. Step 5: Solve for x
    x = 333,321,475,600/266,526
  6. Step 6: Final answer
    x = 1,250,615.23

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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.