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Finding the Third Proportional to 240,875 and 524,646

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Solution

The third proportional to 240,875 and 524,646 is: 1,142,723.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,875 : 524,646 = 524,646 : x
  2. Step 2: Convert to fraction form
    240,875/524,646 = 524,646/x
  3. Step 3: Cross multiply
    240,875x = 524,646 × 524,646
  4. Step 4: Simplify right side
    240,875x = 275,253,425,316
  5. Step 5: Solve for x
    x = 275,253,425,316/240,875
  6. Step 6: Final answer
    x = 1,142,723.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.