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Finding the Third Proportional to 341,454.50 and 737,618

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Solution

The third proportional to 341,454.50 and 737,618 is: 1,593,419.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,454.50 : 737,618 = 737,618 : x
  2. Step 2: Convert to fraction form
    341,454.50/737,618 = 737,618/x
  3. Step 3: Cross multiply
    341,454.50x = 737,618 × 737,618
  4. Step 4: Simplify right side
    341,454.50x = 544,080,313,924
  5. Step 5: Solve for x
    x = 544,080,313,924/341,454.50
  6. Step 6: Final answer
    x = 1,593,419.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.