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Finding the Third Proportional to 576,360 and 926,046

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Solution

The third proportional to 576,360 and 926,046 is: 1,487,891.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,360 : 926,046 = 926,046 : x
  2. Step 2: Convert to fraction form
    576,360/926,046 = 926,046/x
  3. Step 3: Cross multiply
    576,360x = 926,046 × 926,046
  4. Step 4: Simplify right side
    576,360x = 857,561,194,116
  5. Step 5: Solve for x
    x = 857,561,194,116/576,360
  6. Step 6: Final answer
    x = 1,487,891.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.