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Finding the Third Proportional to 261,036 and 415,363

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Solution

The third proportional to 261,036 and 415,363 is: 660,929.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,036 : 415,363 = 415,363 : x
  2. Step 2: Convert to fraction form
    261,036/415,363 = 415,363/x
  3. Step 3: Cross multiply
    261,036x = 415,363 × 415,363
  4. Step 4: Simplify right side
    261,036x = 172,526,421,769
  5. Step 5: Solve for x
    x = 172,526,421,769/261,036
  6. Step 6: Final answer
    x = 660,929.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.