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Finding the Third Proportional to 267,748 and 563,106

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Solution

The third proportional to 267,748 and 563,106 is: 1,184,279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,748 : 563,106 = 563,106 : x
  2. Step 2: Convert to fraction form
    267,748/563,106 = 563,106/x
  3. Step 3: Cross multiply
    267,748x = 563,106 × 563,106
  4. Step 4: Simplify right side
    267,748x = 317,088,367,236
  5. Step 5: Solve for x
    x = 317,088,367,236/267,748
  6. Step 6: Final answer
    x = 1,184,279.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.