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Finding the Third Proportional to 317,354,800.50 and 480,831,835.50

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Solution

The third proportional to 317,354,800.50 and 480,831,835.50 is: 728,519,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,354,800.50 : 480,831,835.50 = 480,831,835.50 : x
  2. Step 2: Convert to fraction form
    317,354,800.50/480,831,835.50 = 480,831,835.50/x
  3. Step 3: Cross multiply
    317,354,800.50x = 480,831,835.50 × 480,831,835.50
  4. Step 4: Simplify right side
    317,354,800.50x = 231,199,254,030,299,072
  5. Step 5: Solve for x
    x = 231,199,254,030,299,072/317,354,800.50
  6. Step 6: Final answer
    x = 728,519,794.46

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Why These Related Problems?

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