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Finding the Third Proportional to 504,552 and 782,046

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Solution

The third proportional to 504,552 and 782,046 is: 1,212,156.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,552 : 782,046 = 782,046 : x
  2. Step 2: Convert to fraction form
    504,552/782,046 = 782,046/x
  3. Step 3: Cross multiply
    504,552x = 782,046 × 782,046
  4. Step 4: Simplify right side
    504,552x = 611,595,946,116
  5. Step 5: Solve for x
    x = 611,595,946,116/504,552
  6. Step 6: Final answer
    x = 1,212,156.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.