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Finding the Third Proportional to 634,516 and 934,230

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Solution

The third proportional to 634,516 and 934,230 is: 1,375,514.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,516 : 934,230 = 934,230 : x
  2. Step 2: Convert to fraction form
    634,516/934,230 = 934,230/x
  3. Step 3: Cross multiply
    634,516x = 934,230 × 934,230
  4. Step 4: Simplify right side
    634,516x = 872,785,692,900
  5. Step 5: Solve for x
    x = 872,785,692,900/634,516
  6. Step 6: Final answer
    x = 1,375,514.08

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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.