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Finding the Third Proportional to 532,094 and 842,406

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Solution

The third proportional to 532,094 and 842,406 is: 1,333,688.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,094 : 842,406 = 842,406 : x
  2. Step 2: Convert to fraction form
    532,094/842,406 = 842,406/x
  3. Step 3: Cross multiply
    532,094x = 842,406 × 842,406
  4. Step 4: Simplify right side
    532,094x = 709,647,868,836
  5. Step 5: Solve for x
    x = 709,647,868,836/532,094
  6. Step 6: Final answer
    x = 1,333,688.91

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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.