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Finding the Third Proportional to 348,618 and 739,093

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Solution

The third proportional to 348,618 and 739,093 is: 1,566,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,618 : 739,093 = 739,093 : x
  2. Step 2: Convert to fraction form
    348,618/739,093 = 739,093/x
  3. Step 3: Cross multiply
    348,618x = 739,093 × 739,093
  4. Step 4: Simplify right side
    348,618x = 546,258,462,649
  5. Step 5: Solve for x
    x = 546,258,462,649/348,618
  6. Step 6: Final answer
    x = 1,566,925.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.