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Finding the Third Proportional to 374,382 and 611,259

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Solution

The third proportional to 374,382 and 611,259 is: 998,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,382 : 611,259 = 611,259 : x
  2. Step 2: Convert to fraction form
    374,382/611,259 = 611,259/x
  3. Step 3: Cross multiply
    374,382x = 611,259 × 611,259
  4. Step 4: Simplify right side
    374,382x = 373,637,565,081
  5. Step 5: Solve for x
    x = 373,637,565,081/374,382
  6. Step 6: Final answer
    x = 998,011.56

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.