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Finding the Third Proportional to 360,540 and 834,618

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Solution

The third proportional to 360,540 and 834,618 is: 1,932,066.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,540 : 834,618 = 834,618 : x
  2. Step 2: Convert to fraction form
    360,540/834,618 = 834,618/x
  3. Step 3: Cross multiply
    360,540x = 834,618 × 834,618
  4. Step 4: Simplify right side
    360,540x = 696,587,205,924
  5. Step 5: Solve for x
    x = 696,587,205,924/360,540
  6. Step 6: Final answer
    x = 1,932,066.36

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.