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Finding the Third Proportional to 367,046 and 808,594

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Solution

The third proportional to 367,046 and 808,594 is: 1,781,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,046 : 808,594 = 808,594 : x
  2. Step 2: Convert to fraction form
    367,046/808,594 = 808,594/x
  3. Step 3: Cross multiply
    367,046x = 808,594 × 808,594
  4. Step 4: Simplify right side
    367,046x = 653,824,256,836
  5. Step 5: Solve for x
    x = 653,824,256,836/367,046
  6. Step 6: Final answer
    x = 1,781,314.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.