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Finding the Third Proportional to 557,347.50 and 1,186,623

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Solution

The third proportional to 557,347.50 and 1,186,623 is: 2,526,384.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,347.50 : 1,186,623 = 1,186,623 : x
  2. Step 2: Convert to fraction form
    557,347.50/1,186,623 = 1,186,623/x
  3. Step 3: Cross multiply
    557,347.50x = 1,186,623 × 1,186,623
  4. Step 4: Simplify right side
    557,347.50x = 1,408,074,144,129
  5. Step 5: Solve for x
    x = 1,408,074,144,129/557,347.50
  6. Step 6: Final answer
    x = 2,526,384.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.