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Finding the Third Proportional to 433,023 and 623,752

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Solution

The third proportional to 433,023 and 623,752 is: 898,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,023 : 623,752 = 623,752 : x
  2. Step 2: Convert to fraction form
    433,023/623,752 = 623,752/x
  3. Step 3: Cross multiply
    433,023x = 623,752 × 623,752
  4. Step 4: Simplify right side
    433,023x = 389,066,557,504
  5. Step 5: Solve for x
    x = 389,066,557,504/433,023
  6. Step 6: Final answer
    x = 898,489.36

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.