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Finding the Third Proportional to 469,367.75 and 963,618

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Solution

The third proportional to 469,367.75 and 963,618 is: 1,978,320.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,367.75 : 963,618 = 963,618 : x
  2. Step 2: Convert to fraction form
    469,367.75/963,618 = 963,618/x
  3. Step 3: Cross multiply
    469,367.75x = 963,618 × 963,618
  4. Step 4: Simplify right side
    469,367.75x = 928,559,649,924
  5. Step 5: Solve for x
    x = 928,559,649,924/469,367.75
  6. Step 6: Final answer
    x = 1,978,320.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.