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Finding the Third Proportional to 374,618 and 559,711

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Solution

The third proportional to 374,618 and 559,711 is: 836,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,618 : 559,711 = 559,711 : x
  2. Step 2: Convert to fraction form
    374,618/559,711 = 559,711/x
  3. Step 3: Cross multiply
    374,618x = 559,711 × 559,711
  4. Step 4: Simplify right side
    374,618x = 313,276,403,521
  5. Step 5: Solve for x
    x = 313,276,403,521/374,618
  6. Step 6: Final answer
    x = 836,255.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.