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Finding the Third Proportional to 576,315 and 1,264,730

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Solution

The third proportional to 576,315 and 1,264,730 is: 2,775,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,315 : 1,264,730 = 1,264,730 : x
  2. Step 2: Convert to fraction form
    576,315/1,264,730 = 1,264,730/x
  3. Step 3: Cross multiply
    576,315x = 1,264,730 × 1,264,730
  4. Step 4: Simplify right side
    576,315x = 1,599,541,972,900
  5. Step 5: Solve for x
    x = 1,599,541,972,900/576,315
  6. Step 6: Final answer
    x = 2,775,464.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.