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Finding the Third Proportional to 576,303 and 925,964

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Solution

The third proportional to 576,303 and 925,964 is: 1,487,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,303 : 925,964 = 925,964 : x
  2. Step 2: Convert to fraction form
    576,303/925,964 = 925,964/x
  3. Step 3: Cross multiply
    576,303x = 925,964 × 925,964
  4. Step 4: Simplify right side
    576,303x = 857,409,329,296
  5. Step 5: Solve for x
    x = 857,409,329,296/576,303
  6. Step 6: Final answer
    x = 1,487,775.23

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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.