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Finding the Third Proportional to 312,058.50 and 736,405.50

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Solution

The third proportional to 312,058.50 and 736,405.50 is: 1,737,792.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,058.50 : 736,405.50 = 736,405.50 : x
  2. Step 2: Convert to fraction form
    312,058.50/736,405.50 = 736,405.50/x
  3. Step 3: Cross multiply
    312,058.50x = 736,405.50 × 736,405.50
  4. Step 4: Simplify right side
    312,058.50x = 542,293,060,430.25
  5. Step 5: Solve for x
    x = 542,293,060,430.25/312,058.50
  6. Step 6: Final answer
    x = 1,737,792.95

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.