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Finding the Third Proportional to 576,671 and 873,618

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Solution

The third proportional to 576,671 and 873,618 is: 1,323,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,671 : 873,618 = 873,618 : x
  2. Step 2: Convert to fraction form
    576,671/873,618 = 873,618/x
  3. Step 3: Cross multiply
    576,671x = 873,618 × 873,618
  4. Step 4: Simplify right side
    576,671x = 763,208,409,924
  5. Step 5: Solve for x
    x = 763,208,409,924/576,671
  6. Step 6: Final answer
    x = 1,323,472.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.