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Finding the Third Proportional to 557,202 and 837,058.50

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Solution

The third proportional to 557,202 and 837,058.50 is: 1,257,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,202 : 837,058.50 = 837,058.50 : x
  2. Step 2: Convert to fraction form
    557,202/837,058.50 = 837,058.50/x
  3. Step 3: Cross multiply
    557,202x = 837,058.50 × 837,058.50
  4. Step 4: Simplify right side
    557,202x = 700,666,932,422.25
  5. Step 5: Solve for x
    x = 700,666,932,422.25/557,202
  6. Step 6: Final answer
    x = 1,257,473.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.