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Finding the Third Proportional to 576,312 and 925,980

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Solution

The third proportional to 576,312 and 925,980 is: 1,487,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,312 : 925,980 = 925,980 : x
  2. Step 2: Convert to fraction form
    576,312/925,980 = 925,980/x
  3. Step 3: Cross multiply
    576,312x = 925,980 × 925,980
  4. Step 4: Simplify right side
    576,312x = 857,438,960,400
  5. Step 5: Solve for x
    x = 857,438,960,400/576,312
  6. Step 6: Final answer
    x = 1,487,803.41

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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.