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Finding the Third Proportional to 595,894 and 882,252

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Solution

The third proportional to 595,894 and 882,252 is: 1,306,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,894 : 882,252 = 882,252 : x
  2. Step 2: Convert to fraction form
    595,894/882,252 = 882,252/x
  3. Step 3: Cross multiply
    595,894x = 882,252 × 882,252
  4. Step 4: Simplify right side
    595,894x = 778,368,591,504
  5. Step 5: Solve for x
    x = 778,368,591,504/595,894
  6. Step 6: Final answer
    x = 1,306,219.88

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.