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Finding the Third Proportional to 270,254 and 592,396

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Solution

The third proportional to 270,254 and 592,396 is: 1,298,530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,254 : 592,396 = 592,396 : x
  2. Step 2: Convert to fraction form
    270,254/592,396 = 592,396/x
  3. Step 3: Cross multiply
    270,254x = 592,396 × 592,396
  4. Step 4: Simplify right side
    270,254x = 350,933,020,816
  5. Step 5: Solve for x
    x = 350,933,020,816/270,254
  6. Step 6: Final answer
    x = 1,298,530.35

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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.