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Finding the Third Proportional to 589,392 and 887,532

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Solution

The third proportional to 589,392 and 887,532 is: 1,336,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,392 : 887,532 = 887,532 : x
  2. Step 2: Convert to fraction form
    589,392/887,532 = 887,532/x
  3. Step 3: Cross multiply
    589,392x = 887,532 × 887,532
  4. Step 4: Simplify right side
    589,392x = 787,713,051,024
  5. Step 5: Solve for x
    x = 787,713,051,024/589,392
  6. Step 6: Final answer
    x = 1,336,484.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.