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Finding the Third Proportional to 262,740 and 564,900

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Solution

The third proportional to 262,740 and 564,900 is: 1,214,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,740 : 564,900 = 564,900 : x
  2. Step 2: Convert to fraction form
    262,740/564,900 = 564,900/x
  3. Step 3: Cross multiply
    262,740x = 564,900 × 564,900
  4. Step 4: Simplify right side
    262,740x = 319,112,010,000
  5. Step 5: Solve for x
    x = 319,112,010,000/262,740
  6. Step 6: Final answer
    x = 1,214,554.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.