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Finding the Third Proportional to 291,046.50 and 624,618

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Solution

The third proportional to 291,046.50 and 624,618 is: 1,340,499.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,046.50 : 624,618 = 624,618 : x
  2. Step 2: Convert to fraction form
    291,046.50/624,618 = 624,618/x
  3. Step 3: Cross multiply
    291,046.50x = 624,618 × 624,618
  4. Step 4: Simplify right side
    291,046.50x = 390,147,645,924
  5. Step 5: Solve for x
    x = 390,147,645,924/291,046.50
  6. Step 6: Final answer
    x = 1,340,499.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.