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Finding the Third Proportional to 577,772 and 1,288,316

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Solution

The third proportional to 577,772 and 1,288,316 is: 2,872,687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,772 : 1,288,316 = 1,288,316 : x
  2. Step 2: Convert to fraction form
    577,772/1,288,316 = 1,288,316/x
  3. Step 3: Cross multiply
    577,772x = 1,288,316 × 1,288,316
  4. Step 4: Simplify right side
    577,772x = 1,659,758,115,856
  5. Step 5: Solve for x
    x = 1,659,758,115,856/577,772
  6. Step 6: Final answer
    x = 2,872,687.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.