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Finding the Third Proportional to 368,709 and 808,674

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Solution

The third proportional to 368,709 and 808,674 is: 1,773,630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,709 : 808,674 = 808,674 : x
  2. Step 2: Convert to fraction form
    368,709/808,674 = 808,674/x
  3. Step 3: Cross multiply
    368,709x = 808,674 × 808,674
  4. Step 4: Simplify right side
    368,709x = 653,953,638,276
  5. Step 5: Solve for x
    x = 653,953,638,276/368,709
  6. Step 6: Final answer
    x = 1,773,630.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.