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Finding the Third Proportional to 341,316 and 733,176

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Solution

The third proportional to 341,316 and 733,176 is: 1,574,924.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,316 : 733,176 = 733,176 : x
  2. Step 2: Convert to fraction form
    341,316/733,176 = 733,176/x
  3. Step 3: Cross multiply
    341,316x = 733,176 × 733,176
  4. Step 4: Simplify right side
    341,316x = 537,547,046,976
  5. Step 5: Solve for x
    x = 537,547,046,976/341,316
  6. Step 6: Final answer
    x = 1,574,924.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.