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Finding the Third Proportional to 341,584 and 513,476

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Solution

The third proportional to 341,584 and 513,476 is: 771,867.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,584 : 513,476 = 513,476 : x
  2. Step 2: Convert to fraction form
    341,584/513,476 = 513,476/x
  3. Step 3: Cross multiply
    341,584x = 513,476 × 513,476
  4. Step 4: Simplify right side
    341,584x = 263,657,602,576
  5. Step 5: Solve for x
    x = 263,657,602,576/341,584
  6. Step 6: Final answer
    x = 771,867.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.