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Finding the Third Proportional to 437,725,714.50 and 683,089,184.25

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Solution

The third proportional to 437,725,714.50 and 683,089,184.25 is: 1,065,989,084.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,725,714.50 : 683,089,184.25 = 683,089,184.25 : x
  2. Step 2: Convert to fraction form
    437,725,714.50/683,089,184.25 = 683,089,184.25/x
  3. Step 3: Cross multiply
    437,725,714.50x = 683,089,184.25 × 683,089,184.25
  4. Step 4: Simplify right side
    437,725,714.50x = 466,610,833,639,330,432
  5. Step 5: Solve for x
    x = 466,610,833,639,330,432/437,725,714.50
  6. Step 6: Final answer
    x = 1,065,989,084.45

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.