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Finding the Third Proportional to 612,316 and 965,434

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Solution

The third proportional to 612,316 and 965,434 is: 1,522,192.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,316 : 965,434 = 965,434 : x
  2. Step 2: Convert to fraction form
    612,316/965,434 = 965,434/x
  3. Step 3: Cross multiply
    612,316x = 965,434 × 965,434
  4. Step 4: Simplify right side
    612,316x = 932,062,808,356
  5. Step 5: Solve for x
    x = 932,062,808,356/612,316
  6. Step 6: Final answer
    x = 1,522,192.48

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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.