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Finding the Third Proportional to 282,514 and 609,842

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Solution

The third proportional to 282,514 and 609,842 is: 1,316,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,514 : 609,842 = 609,842 : x
  2. Step 2: Convert to fraction form
    282,514/609,842 = 609,842/x
  3. Step 3: Cross multiply
    282,514x = 609,842 × 609,842
  4. Step 4: Simplify right side
    282,514x = 371,907,264,964
  5. Step 5: Solve for x
    x = 371,907,264,964/282,514
  6. Step 6: Final answer
    x = 1,316,420.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.