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Finding the Third Proportional to 265,413 and 577,482

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Solution

The third proportional to 265,413 and 577,482 is: 1,256,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,413 : 577,482 = 577,482 : x
  2. Step 2: Convert to fraction form
    265,413/577,482 = 577,482/x
  3. Step 3: Cross multiply
    265,413x = 577,482 × 577,482
  4. Step 4: Simplify right side
    265,413x = 333,485,460,324
  5. Step 5: Solve for x
    x = 333,485,460,324/265,413
  6. Step 6: Final answer
    x = 1,256,477.49

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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.