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Finding the Third Proportional to 211,690.50 and 456,618

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Solution

The third proportional to 211,690.50 and 456,618 is: 984,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,690.50 : 456,618 = 456,618 : x
  2. Step 2: Convert to fraction form
    211,690.50/456,618 = 456,618/x
  3. Step 3: Cross multiply
    211,690.50x = 456,618 × 456,618
  4. Step 4: Simplify right side
    211,690.50x = 208,499,997,924
  5. Step 5: Solve for x
    x = 208,499,997,924/211,690.50
  6. Step 6: Final answer
    x = 984,928.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.