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Finding the Third Proportional to 489,853.50 and 742,164

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Solution

The third proportional to 489,853.50 and 742,164 is: 1,124,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,853.50 : 742,164 = 742,164 : x
  2. Step 2: Convert to fraction form
    489,853.50/742,164 = 742,164/x
  3. Step 3: Cross multiply
    489,853.50x = 742,164 × 742,164
  4. Step 4: Simplify right side
    489,853.50x = 550,807,402,896
  5. Step 5: Solve for x
    x = 550,807,402,896/489,853.50
  6. Step 6: Final answer
    x = 1,124,432.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.