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Finding the Third Proportional to 634,534 and 934,257

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Solution

The third proportional to 634,534 and 934,257 is: 1,375,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,534 : 934,257 = 934,257 : x
  2. Step 2: Convert to fraction form
    634,534/934,257 = 934,257/x
  3. Step 3: Cross multiply
    634,534x = 934,257 × 934,257
  4. Step 4: Simplify right side
    634,534x = 872,836,142,049
  5. Step 5: Solve for x
    x = 872,836,142,049/634,534
  6. Step 6: Final answer
    x = 1,375,554.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.