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Finding the Third Proportional to 489,516,214.50 and 759,089,664

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Solution

The third proportional to 489,516,214.50 and 759,089,664 is: 1,177,115,488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,516,214.50 : 759,089,664 = 759,089,664 : x
  2. Step 2: Convert to fraction form
    489,516,214.50/759,089,664 = 759,089,664/x
  3. Step 3: Cross multiply
    489,516,214.50x = 759,089,664 × 759,089,664
  4. Step 4: Simplify right side
    489,516,214.50x = 576,217,117,991,632,896
  5. Step 5: Solve for x
    x = 576,217,117,991,632,896/489,516,214.50
  6. Step 6: Final answer
    x = 1,177,115,488.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.