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Finding the Third Proportional to 371,862 and 765,732

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Solution

The third proportional to 371,862 and 765,732 is: 1,576,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,862 : 765,732 = 765,732 : x
  2. Step 2: Convert to fraction form
    371,862/765,732 = 765,732/x
  3. Step 3: Cross multiply
    371,862x = 765,732 × 765,732
  4. Step 4: Simplify right side
    371,862x = 586,345,495,824
  5. Step 5: Solve for x
    x = 586,345,495,824/371,862
  6. Step 6: Final answer
    x = 1,576,782.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.