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Finding the Third Proportional to 504,204 and 780,618

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Solution

The third proportional to 504,204 and 780,618 is: 1,208,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,204 : 780,618 = 780,618 : x
  2. Step 2: Convert to fraction form
    504,204/780,618 = 780,618/x
  3. Step 3: Cross multiply
    504,204x = 780,618 × 780,618
  4. Step 4: Simplify right side
    504,204x = 609,364,461,924
  5. Step 5: Solve for x
    x = 609,364,461,924/504,204
  6. Step 6: Final answer
    x = 1,208,567.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.