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Finding the Third Proportional to 262,259 and 546,658

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Solution

The third proportional to 262,259 and 546,658 is: 1,139,465.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,259 : 546,658 = 546,658 : x
  2. Step 2: Convert to fraction form
    262,259/546,658 = 546,658/x
  3. Step 3: Cross multiply
    262,259x = 546,658 × 546,658
  4. Step 4: Simplify right side
    262,259x = 298,834,968,964
  5. Step 5: Solve for x
    x = 298,834,968,964/262,259
  6. Step 6: Final answer
    x = 1,139,465.07

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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.