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Finding the Third Proportional to 273,506 and 413,904

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Solution

The third proportional to 273,506 and 413,904 is: 626,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,506 : 413,904 = 413,904 : x
  2. Step 2: Convert to fraction form
    273,506/413,904 = 413,904/x
  3. Step 3: Cross multiply
    273,506x = 413,904 × 413,904
  4. Step 4: Simplify right side
    273,506x = 171,316,521,216
  5. Step 5: Solve for x
    x = 171,316,521,216/273,506
  6. Step 6: Final answer
    x = 626,372.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.