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Finding the Third Proportional to 360,618 and 771,263.25

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Solution

The third proportional to 360,618 and 771,263.25 is: 1,649,521.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,618 : 771,263.25 = 771,263.25 : x
  2. Step 2: Convert to fraction form
    360,618/771,263.25 = 771,263.25/x
  3. Step 3: Cross multiply
    360,618x = 771,263.25 × 771,263.25
  4. Step 4: Simplify right side
    360,618x = 594,847,000,800.56
  5. Step 5: Solve for x
    x = 594,847,000,800.56/360,618
  6. Step 6: Final answer
    x = 1,649,521.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.