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Finding the Third Proportional to 576,324 and 925,998

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Solution

The third proportional to 576,324 and 925,998 is: 1,487,830.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,324 : 925,998 = 925,998 : x
  2. Step 2: Convert to fraction form
    576,324/925,998 = 925,998/x
  3. Step 3: Cross multiply
    576,324x = 925,998 × 925,998
  4. Step 4: Simplify right side
    576,324x = 857,472,296,004
  5. Step 5: Solve for x
    x = 857,472,296,004/576,324
  6. Step 6: Final answer
    x = 1,487,830.28

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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.