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Finding the Third Proportional to 262,253 and 546,646

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Solution

The third proportional to 262,253 and 546,646 is: 1,139,441.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,253 : 546,646 = 546,646 : x
  2. Step 2: Convert to fraction form
    262,253/546,646 = 546,646/x
  3. Step 3: Cross multiply
    262,253x = 546,646 × 546,646
  4. Step 4: Simplify right side
    262,253x = 298,821,849,316
  5. Step 5: Solve for x
    x = 298,821,849,316/262,253
  6. Step 6: Final answer
    x = 1,139,441.11

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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.