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Finding the Third Proportional to 634,400 and 934,076

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Solution

The third proportional to 634,400 and 934,076 is: 1,375,312.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,400 : 934,076 = 934,076 : x
  2. Step 2: Convert to fraction form
    634,400/934,076 = 934,076/x
  3. Step 3: Cross multiply
    634,400x = 934,076 × 934,076
  4. Step 4: Simplify right side
    634,400x = 872,497,973,776
  5. Step 5: Solve for x
    x = 872,497,973,776/634,400
  6. Step 6: Final answer
    x = 1,375,312.06

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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.