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Finding the Third Proportional to 351,240 and 757,776

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Solution

The third proportional to 351,240 and 757,776 is: 1,634,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,240 : 757,776 = 757,776 : x
  2. Step 2: Convert to fraction form
    351,240/757,776 = 757,776/x
  3. Step 3: Cross multiply
    351,240x = 757,776 × 757,776
  4. Step 4: Simplify right side
    351,240x = 574,224,466,176
  5. Step 5: Solve for x
    x = 574,224,466,176/351,240
  6. Step 6: Final answer
    x = 1,634,849.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.