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Finding the Third Proportional to 505,548 and 759,618

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Solution

The third proportional to 505,548 and 759,618 is: 1,141,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,548 : 759,618 = 759,618 : x
  2. Step 2: Convert to fraction form
    505,548/759,618 = 759,618/x
  3. Step 3: Cross multiply
    505,548x = 759,618 × 759,618
  4. Step 4: Simplify right side
    505,548x = 577,019,505,924
  5. Step 5: Solve for x
    x = 577,019,505,924/505,548
  6. Step 6: Final answer
    x = 1,141,374.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.