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Finding the Third Proportional to 489,946.50 and 769,918.50

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Solution

The third proportional to 489,946.50 and 769,918.50 is: 1,209,875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,946.50 : 769,918.50 = 769,918.50 : x
  2. Step 2: Convert to fraction form
    489,946.50/769,918.50 = 769,918.50/x
  3. Step 3: Cross multiply
    489,946.50x = 769,918.50 × 769,918.50
  4. Step 4: Simplify right side
    489,946.50x = 592,774,496,642.25
  5. Step 5: Solve for x
    x = 592,774,496,642.25/489,946.50
  6. Step 6: Final answer
    x = 1,209,875.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.