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Finding the Third Proportional to 265,076 and 552,506

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Solution

The third proportional to 265,076 and 552,506 is: 1,151,605.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,076 : 552,506 = 552,506 : x
  2. Step 2: Convert to fraction form
    265,076/552,506 = 552,506/x
  3. Step 3: Cross multiply
    265,076x = 552,506 × 552,506
  4. Step 4: Simplify right side
    265,076x = 305,262,880,036
  5. Step 5: Solve for x
    x = 305,262,880,036/265,076
  6. Step 6: Final answer
    x = 1,151,605.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.