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Finding the Third Proportional to 493,428 and 738,153

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Solution

The third proportional to 493,428 and 738,153 is: 1,104,254.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,428 : 738,153 = 738,153 : x
  2. Step 2: Convert to fraction form
    493,428/738,153 = 738,153/x
  3. Step 3: Cross multiply
    493,428x = 738,153 × 738,153
  4. Step 4: Simplify right side
    493,428x = 544,869,851,409
  5. Step 5: Solve for x
    x = 544,869,851,409/493,428
  6. Step 6: Final answer
    x = 1,104,254.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.