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Finding the Third Proportional to 634,515 and 934,228

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Solution

The third proportional to 634,515 and 934,228 is: 1,375,510.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,515 : 934,228 = 934,228 : x
  2. Step 2: Convert to fraction form
    634,515/934,228 = 934,228/x
  3. Step 3: Cross multiply
    634,515x = 934,228 × 934,228
  4. Step 4: Simplify right side
    634,515x = 872,781,955,984
  5. Step 5: Solve for x
    x = 872,781,955,984/634,515
  6. Step 6: Final answer
    x = 1,375,510.36

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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.