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Finding the Third Proportional to 323,172 and 754,776

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Solution

The third proportional to 323,172 and 754,776 is: 1,762,797.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,172 : 754,776 = 754,776 : x
  2. Step 2: Convert to fraction form
    323,172/754,776 = 754,776/x
  3. Step 3: Cross multiply
    323,172x = 754,776 × 754,776
  4. Step 4: Simplify right side
    323,172x = 569,686,810,176
  5. Step 5: Solve for x
    x = 569,686,810,176/323,172
  6. Step 6: Final answer
    x = 1,762,797.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.