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Finding the Third Proportional to 415,908 and 669,798

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Solution

The third proportional to 415,908 and 669,798 is: 1,078,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,908 : 669,798 = 669,798 : x
  2. Step 2: Convert to fraction form
    415,908/669,798 = 669,798/x
  3. Step 3: Cross multiply
    415,908x = 669,798 × 669,798
  4. Step 4: Simplify right side
    415,908x = 448,629,360,804
  5. Step 5: Solve for x
    x = 448,629,360,804/415,908
  6. Step 6: Final answer
    x = 1,078,674.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.