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Finding the Third Proportional to 623,700 and 948,672

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Solution

The third proportional to 623,700 and 948,672 is: 1,442,967.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,700 : 948,672 = 948,672 : x
  2. Step 2: Convert to fraction form
    623,700/948,672 = 948,672/x
  3. Step 3: Cross multiply
    623,700x = 948,672 × 948,672
  4. Step 4: Simplify right side
    623,700x = 899,978,563,584
  5. Step 5: Solve for x
    x = 899,978,563,584/623,700
  6. Step 6: Final answer
    x = 1,442,967.07

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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.