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Finding the Third Proportional to 612,323 and 965,445

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Solution

The third proportional to 612,323 and 965,445 is: 1,522,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,323 : 965,445 = 965,445 : x
  2. Step 2: Convert to fraction form
    612,323/965,445 = 965,445/x
  3. Step 3: Cross multiply
    612,323x = 965,445 × 965,445
  4. Step 4: Simplify right side
    612,323x = 932,084,048,025
  5. Step 5: Solve for x
    x = 932,084,048,025/612,323
  6. Step 6: Final answer
    x = 1,522,209.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.