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Finding the Third Proportional to 368,712 and 808,680

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Solution

The third proportional to 368,712 and 808,680 is: 1,773,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,712 : 808,680 = 808,680 : x
  2. Step 2: Convert to fraction form
    368,712/808,680 = 808,680/x
  3. Step 3: Cross multiply
    368,712x = 808,680 × 808,680
  4. Step 4: Simplify right side
    368,712x = 653,963,342,400
  5. Step 5: Solve for x
    x = 653,963,342,400/368,712
  6. Step 6: Final answer
    x = 1,773,642.69

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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.