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Finding the Third Proportional to 587,096 and 933,024

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Solution

The third proportional to 587,096 and 933,024 is: 1,482,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,096 : 933,024 = 933,024 : x
  2. Step 2: Convert to fraction form
    587,096/933,024 = 933,024/x
  3. Step 3: Cross multiply
    587,096x = 933,024 × 933,024
  4. Step 4: Simplify right side
    587,096x = 870,533,784,576
  5. Step 5: Solve for x
    x = 870,533,784,576/587,096
  6. Step 6: Final answer
    x = 1,482,779.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.