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Finding the Third Proportional to 572,640 and 757,152

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Solution

The third proportional to 572,640 and 757,152 is: 1,001,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,640 : 757,152 = 757,152 : x
  2. Step 2: Convert to fraction form
    572,640/757,152 = 757,152/x
  3. Step 3: Cross multiply
    572,640x = 757,152 × 757,152
  4. Step 4: Simplify right side
    572,640x = 573,279,151,104
  5. Step 5: Solve for x
    x = 573,279,151,104/572,640
  6. Step 6: Final answer
    x = 1,001,116.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.