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Finding the Third Proportional to 265,458 and 577,572

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Solution

The third proportional to 265,458 and 577,572 is: 1,256,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,458 : 577,572 = 577,572 : x
  2. Step 2: Convert to fraction form
    265,458/577,572 = 577,572/x
  3. Step 3: Cross multiply
    265,458x = 577,572 × 577,572
  4. Step 4: Simplify right side
    265,458x = 333,589,415,184
  5. Step 5: Solve for x
    x = 333,589,415,184/265,458
  6. Step 6: Final answer
    x = 1,256,656.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.