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Finding the Third Proportional to 267,354 and 556,822.50

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Solution

The third proportional to 267,354 and 556,822.50 is: 1,159,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,354 : 556,822.50 = 556,822.50 : x
  2. Step 2: Convert to fraction form
    267,354/556,822.50 = 556,822.50/x
  3. Step 3: Cross multiply
    267,354x = 556,822.50 × 556,822.50
  4. Step 4: Simplify right side
    267,354x = 310,051,296,506.25
  5. Step 5: Solve for x
    x = 310,051,296,506.25/267,354
  6. Step 6: Final answer
    x = 1,159,703.23

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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.