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Finding the Third Proportional to 344,432 and 537,056

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Solution

The third proportional to 344,432 and 537,056 is: 837,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,432 : 537,056 = 537,056 : x
  2. Step 2: Convert to fraction form
    344,432/537,056 = 537,056/x
  3. Step 3: Cross multiply
    344,432x = 537,056 × 537,056
  4. Step 4: Simplify right side
    344,432x = 288,429,147,136
  5. Step 5: Solve for x
    x = 288,429,147,136/344,432
  6. Step 6: Final answer
    x = 837,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.