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Finding the Third Proportional to 485,618 and 761,787

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Solution

The third proportional to 485,618 and 761,787 is: 1,195,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,618 : 761,787 = 761,787 : x
  2. Step 2: Convert to fraction form
    485,618/761,787 = 761,787/x
  3. Step 3: Cross multiply
    485,618x = 761,787 × 761,787
  4. Step 4: Simplify right side
    485,618x = 580,319,433,369
  5. Step 5: Solve for x
    x = 580,319,433,369/485,618
  6. Step 6: Final answer
    x = 1,195,012.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.