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Finding the Third Proportional to 433,020 and 623,750

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Solution

The third proportional to 433,020 and 623,750 is: 898,489.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,020 : 623,750 = 623,750 : x
  2. Step 2: Convert to fraction form
    433,020/623,750 = 623,750/x
  3. Step 3: Cross multiply
    433,020x = 623,750 × 623,750
  4. Step 4: Simplify right side
    433,020x = 389,064,062,500
  5. Step 5: Solve for x
    x = 389,064,062,500/433,020
  6. Step 6: Final answer
    x = 898,489.82

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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.