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Finding the Third Proportional to 267,119 and 575,709

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Solution

The third proportional to 267,119 and 575,709 is: 1,240,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,119 : 575,709 = 575,709 : x
  2. Step 2: Convert to fraction form
    267,119/575,709 = 575,709/x
  3. Step 3: Cross multiply
    267,119x = 575,709 × 575,709
  4. Step 4: Simplify right side
    267,119x = 331,440,852,681
  5. Step 5: Solve for x
    x = 331,440,852,681/267,119
  6. Step 6: Final answer
    x = 1,240,798.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.